468656656864 has 48 divisors (see below), whose sum is σ = 1020723451776. Its totient is φ = 210025379200.

The previous prime is 468656656813. The next prime is 468656656873.

468656656864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468656656793 and 468656656802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9351142 + ... + 9401125.

It is an arithmetic number, because the mean of its divisors is an integer number (21265071912).

Almost surely, 2^468656656864 is an apocalyptic number.

468656656864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468656656864 is an abundant number, since it is smaller than the sum of its proper divisors (552066794912).

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

468656656864 is a wasteful number, since it uses less digits than its factorization.

468656656864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18752359 (or 18752351 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 70.

The spelling of 468656656864 in words is "four hundred sixty-eight billion, six hundred fifty-six million, six hundred fifty-six thousand, eight hundred sixty-four".