468616808616864 has 96 divisors (see below), whose sum is σ = 1231023633840000. Its totient is φ = 156090752154624.

The previous prime is 468616808616851. The next prime is 468616808616889.

468616808616864 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 468616808616864.

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 15 ways as a sum of consecutive naturals, for example, 6111371677 + ... + 6111448355.

It is an arithmetic number, because the mean of its divisors is an integer number (12823162852500).

Almost surely, 2^{468616808616864} is an apocalyptic number.

It is an amenable number.

468616808616864 is an abundant number, since it is smaller than the sum of its proper divisors (762406825223136).

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

468616808616864 is a wasteful number, since it uses less digits than its factorization.

468616808616864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122670 (or 122662 counting only the distinct ones).

The product of its (nonzero) digits is 3057647616, while the sum is 78.

The spelling of 468616808616864 in words is "four hundred sixty-eight trillion, six hundred sixteen billion, eight hundred eight million, six hundred sixteen thousand, eight hundred sixty-four".