465635536564 has 48 divisors (see below), whose sum is σ = 900443980800. Its totient is φ = 208915106400.

The previous prime is 465635536559. The next prime is 465635536571.

465635536564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×465635536564² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465635536499 and 465635536508.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13953379 + ... + 13986709.

It is an arithmetic number, because the mean of its divisors is an integer number (18759249600).

Almost surely, 2^465635536564 is an apocalyptic number.

465635536564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465635536564 is a deficient number, since it is larger than the sum of its proper divisors (434808444236).

465635536564 is a wasteful number, since it uses less digits than its factorization.

465635536564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37444 (or 37442 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 58.

The spelling of 465635536564 in words is "four hundred sixty-five billion, six hundred thirty-five million, five hundred thirty-six thousand, five hundred sixty-four".