23364334334016 has 84 divisors (see below), whose sum is σ = 72121157047212. Its totient is φ = 7189025946624.

The previous prime is 23364334333993. The next prime is 23364334334051. The reversal of 23364334334016 is 61043343346332.

23364334334016 is a `hidden beast` number, since 233 + 6 + 4 + 3 + 3 + 4 + 3 + 3 + 401 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13730759894016 + 9633574440000 = 3705504^2 + 3103800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1560110991 + ... + 1560125966.

It is an arithmetic number, because the mean of its divisors is an integer number (858585202943).

Almost surely, 2^{23364334334016} is an apocalyptic number.

23364334334016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23364334334016 is an abundant number, since it is smaller than the sum of its proper divisors (48756822713196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23364334334016 is a wasteful number, since it uses less digits than its factorization.

23364334334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120236988 (or 3120236975 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 45.

The spelling of 23364334334016 in words is "twenty-three trillion, three hundred sixty-four billion, three hundred thirty-four million, three hundred thirty-four thousand, sixteen".