Yes, it freezes well. Our local Costco does not have a kosher bakery, so we buy two at a time in Westchester. One we freeze whole. The other we portion into slices, wrap in a good quality clingwrap, then place in individual ZipLoc bags (not the cheap copies). The bags are placed on a tray to freeze solid and once frozen we place them into a large flat Tupperware type container in the freezer. We also freeze other cake in this manner. Mrs B and the daughters like to be able to pull individual slices when they are in the mood.
When my mother was still living in her own, she always kept a Costco Cheesecake in the freezer in case she decided to have guests in. She stopped driving at 87 and didn't want to ask someone to take her to Costco just to get a cheesecake. She had one of the cards from my business, and in 20 years of having the card, cheesecake is the only thing she ever bought at Costco.
I laugh about this because mom made the best cheesecake, but stopped when she retired to Florida, said she couldn't get good baking results in the electric ovens down there. Up north she always had gas ovens.
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