468685077861168 has 120 divisors (see below), whose sum is σ = 1502901900458400. Its totient is φ = 133565780431872.

The previous prime is 468685077861151. The next prime is 468685077861181. The reversal of 468685077861168 is 861168770586864.

468685077861168 is a `hidden beast` number, since 46 + 8 + 6 + 8 + 507 + 7 + 8 + 6 + 1 + 1 + 68 = 666.

It is a super-2 number, since 2×468685077861168² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597249733 + ... + 598033956.

It is an arithmetic number, because the mean of its divisors is an integer number (12524182503820).

Almost surely, 2^{468685077861168} is an apocalyptic number.

468685077861168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468685077861168 is an abundant number, since it is smaller than the sum of its proper divisors (1034216822597232).

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

468685077861168 is a wasteful number, since it uses less digits than its factorization.

468685077861168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195284099 (or 1195284090 counting only the distinct ones).

The product of its (nonzero) digits is 5202247680, while the sum is 81.

The spelling of 468685077861168 in words is "four hundred sixty-eight trillion, six hundred eighty-five billion, seventy-seven million, eight hundred sixty-one thousand, one hundred sixty-eight".