465268484862564 has 48 divisors (see below), whose sum is σ = 1091266870885632. Its totient is φ = 154283745318912.

The previous prime is 465268484862547. The next prime is 465268484862607.

465268484862564 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 465268484862564.

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, 167068597 + ... + 169830659.

It is an arithmetic number, because the mean of its divisors is an integer number (22734726476784).

Almost surely, 2^{465268484862564} is an apocalyptic number.

It is an amenable number.

465268484862564 is an abundant number, since it is smaller than the sum of its proper divisors (625998386023068).

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

465268484862564 is a wasteful number, since it uses less digits than its factorization.

465268484862564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834996 (or 2834994 counting only the distinct ones).

The product of its digits is 16986931200, while the sum is 78.

The spelling of 465268484862564 in words is "four hundred sixty-five trillion, two hundred sixty-eight billion, four hundred eighty-four million, eight hundred sixty-two thousand, five hundred sixty-four".