One of the quantum theory interpretations says the world does not actually exist in any set form or shape, if you do not witness it directly with your senses - that is, if you do not "measure" it accurately somehow, forcing the world to decide what does it want to be. Therefore, the most bizarre superpower would be to make the world exist, even if you do not look at it. In a way, you would be like a god then, all-witnessing all the time.
You may not even know that you have this power, now.