465663366564 has 24 divisors (see below), whose sum is σ = 1185324933408. Its totient is φ = 141110111040.

The previous prime is 465663366559. The next prime is 465663366569.

465663366564 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (465663366559) and next prime (465663366569).

It is a junction number, because it is equal to n+sod(n) for n = 465663366498 and 465663366507.

It is not an unprimeable number, because it can be changed into a prime (465663366569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763876257 + ... + 1763876520.

It is an arithmetic number, because the mean of its divisors is an integer number (49388538892).

Almost surely, 2^465663366564 is an apocalyptic number.

465663366564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465663366564 is an abundant number, since it is smaller than the sum of its proper divisors (719661566844).

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

465663366564 is a wasteful number, since it uses less digits than its factorization.

465663366564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527752795 (or 3527752793 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 60.

The spelling of 465663366564 in words is "four hundred sixty-five billion, six hundred sixty-three million, three hundred sixty-six thousand, five hundred sixty-four".