368160529968 has 900 divisors, whose sum is σ = 1387094293200. Its totient is φ = 92276236800.

The previous prime is 368160529951. The next prime is 368160529987. The reversal of 368160529968 is 869925061863.

368160529968 is a `hidden beast` number, since 3 + 6 + 8 + 16 + 0 + 529 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1054901058 + ... + 1054901406.

Almost surely, 2^368160529968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368160529968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693547146600).

368160529968 is an abundant number, since it is smaller than the sum of its proper divisors (1018933763232).

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

368160529968 is a wasteful number, since it uses less digits than its factorization.

368160529968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 368160529968 in words is "three hundred sixty-eight billion, one hundred sixty million, five hundred twenty-nine thousand, nine hundred sixty-eight".