I would bet there are many different definitions. I like to define intelligence as having the capacity to learn, so in my case super intelligence would evoke a much greater capacity to learn. Does super-intelligence imply that one can mentally compute faster or better than a machine or does it mean one can design a machine that can compute faster and better than anything else devised?
Perhaps super intelligence means one possesses the knowledge of all things or that one can solve any problem. I suppose the omniscient would not have anymore capacity for learning so maybe that might be as far as intelligence can go. Perhaps omniscience is in a category all by itself, the ultimate intelligence.
One could compare intelligence. Is humanity a super intelligence if you compare us to an amoeba? Would a super intelligence be able to do anything a less intelligent creature can do? I mean would the super-intelligent have highly developed senses.
Is it all about self awareness, consciousness?