232968658007568 has 320 divisors, whose sum is σ = 697456931899392. Its totient is φ = 65632385617920.

The previous prime is 232968658007543. The next prime is 232968658007599. The reversal of 232968658007568 is 865700856869232.

It is a super-2 number, since 2×232968658007568² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 232968658007568.

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 63 ways as a sum of consecutive naturals, for example, 34356088338 + ... + 34356095118.

Almost surely, 2^{232968658007568} is an apocalyptic number.

232968658007568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232968658007568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348728465949696).

232968658007568 is an abundant number, since it is smaller than the sum of its proper divisors (464488273891824).

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

232968658007568 is a wasteful number, since it uses less digits than its factorization.

232968658007568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 75.

The spelling of 232968658007568 in words is "two hundred thirty-two trillion, nine hundred sixty-eight billion, six hundred fifty-eight million, seven thousand, five hundred sixty-eight".