holy crap! I can't even solve the regular 3x3x3 cube. I would hate to try solving that one
I can handle 3x3x3, except for the final 2-3 blocks sometimes, same with 4x4x4 or theoretically 20x20x20 or 100x100x100 (I still would only have troubles with those last 2-3 blocks)...
But when you get into a shape like this puzzle is, I completely lose my abilities for 3 dimensional thought.