I had over 20 at some point. Then I went mad and killed them. They were taking up space, and half of them were somehow glitched and couldn't move. That being said, I now limit my number of tamed wolves to 1 or fewer.
I had one, but Ruffles died saving me from a horde of skeletons. He now has a monument in all of my worlds and I will never have another wolf. R.I.P. Ruffles.
How many wolves do you have?!