468731626137864 has 96 divisors (see below), whose sum is σ = 1273172049676800. Its totient is φ = 155790185840640.

The previous prime is 468731626137829. The next prime is 468731626137881.

468731626137864 is a `hidden beast` number, since 4 + 6 + 87 + 3 + 1 + 62 + 61 + 378 + 64 = 666.

468731626137864 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×468731626137864³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 468731626137792 and 468731626137801.

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 23 ways as a sum of consecutive naturals, for example, 36622344 + ... + 47735304.

It is an arithmetic number, because the mean of its divisors is an integer number (13262208850800).

Almost surely, 2^{468731626137864} is an apocalyptic number.

It is an amenable number.

468731626137864 is an abundant number, since it is smaller than the sum of its proper divisors (804440423538936).

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

468731626137864 is a wasteful number, since it uses less digits than its factorization.

468731626137864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114675 (or 11114668 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 468731626137864 in words is "four hundred sixty-eight trillion, seven hundred thirty-one billion, six hundred twenty-six million, one hundred thirty-seven thousand, eight hundred sixty-four".