the answer is 9
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16 is the next squared number.
The sequence is generated using cubes, or n^3. The next number in the sequence will be 4^3, or 256.
The next number in the sequence is... 64
16
I'm fairly sure you meant the "4" to be a "3" in this sequence. There is no "next number" in the sequence given, since there is no rule that encompasses the entire sequence. And to be fair, in number sequences, any number can still logically be "next". If it's not the number that you expect, it is still a number sequence. It is just not a predicable one.