There is no answer for this, there is an infinity possibilities.
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There is an infinite number of possibilities to the highest number.
There is no highest number
There is no highest number, highest prime number, or highest composite number. Therefore, there can't be a second-highest, third-highest, etc., of any of these types of numbers, either.
There is no highest square number. If there was such a number then that number squared would be a higher square number!
The highest factor of any number is the number itself.