Cereus tetragonus "fairy castle" mutant cultivar. Flowers are fake. Might not ever bloom. What you need to do right now is remove the wrapping, check if the soil is organic(wholesale ussualy is) or not, and if it is, repot into a cocopeat mix with perlite, grit, pebbles, pummice etc. Water sparingly , place in a very sunny position gradually, and try to remove the fake flowers carefully.

Acanthocereus tetragonus cv. Fairytale castle (synonym: Cereustetragonus cv. Fairy Castles)

Do not overpot, but slightly bigger pot should be OK - it grows best if there is plenty of space for the roots. Make sure pot has drainage hole(s).

Don't over water it ..you can only water it when soil is completely dry...maybe onces a month doing winter.summer twice a month

There's no need to be cranky. The flowers are usually Xerochrysum, AKA strawflowers. The asked-about pics are too small to see any detail. They retain their color for a long time and fluctuations in humidity can cause them to open/close.

I've been seeing them glued onto little cacti for at least half a century. I don't think it's done as a con but as a decoration. Purchasing them is optional, for those who want one. I don't feel any hostility toward them, they should have what they want too. There are a lot of plants @ store that I don't want to buy. I don't mind if others do.

Wait, this is from years ago. Why was it necessary to advise about watering it years later?

So why comment crankily about it, Tiffany?

I don't believe I did.

I don't think the flowers are fake--they respond to daylight and they open wide on sunny days. When it's dark or cloudy they close up. I wish the supplier would give info and advice. I think a lot of them end up in the trash. I have three and they have grown much bigger, with several new branches (don't know what they're called). I love them.

As Tiffany mentioned, straw flowers can keep on opening and closing. Fairy castle cacti hardly ever bloom, but in any case they would have white, night blooming flowers with a long neck, and they would stay tightly closed on a sunny day. The 'blooming' ones that you see in the stores can have strawflowers in purple, red, orange, yellow or just about any colour you can think of. Not a single cactus has blooms with hard, dry petals. Simple test: straw flowers don't wilt, and the plants don't get new buds. If you have the same flowers after say a month, you can be sure they are fake. Real flowers also don't have glue at the base ;-). Enjoy your ever flowering plants for what they are: living plants with decorative dead flowers.