465664466564 has 48 divisors (see below), whose sum is σ = 895696589760. Its totient is φ = 210071283840.

The previous prime is 465664466563. The next prime is 465664466581.

465664466564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465664466497 and 465664466506.

It is not an unprimeable number, because it can be changed into a prime (465664466563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20617982 + ... + 20640554.

It is an arithmetic number, because the mean of its divisors is an integer number (18660345620).

Almost surely, 2^465664466564 is an apocalyptic number.

465664466564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465664466564 is a deficient number, since it is larger than the sum of its proper divisors (430032123196).

465664466564 is a wasteful number, since it uses less digits than its factorization.

465664466564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26100 (or 26098 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 62.

The spelling of 465664466564 in words is "four hundred sixty-five billion, six hundred sixty-four million, four hundred sixty-six thousand, five hundred sixty-four".