465644446564 has 48 divisors (see below), whose sum is σ = 899169901056. Its totient is φ = 209230156800.

The previous prime is 465644446559. The next prime is 465644446601.

465644446564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465644446499 and 465644446508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3620074 + ... + 3746494.

It is an arithmetic number, because the mean of its divisors is an integer number (18732706272).

Almost surely, 2^465644446564 is an apocalyptic number.

465644446564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465644446564 is a deficient number, since it is larger than the sum of its proper divisors (433525454492).

465644446564 is a wasteful number, since it uses less digits than its factorization.

465644446564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127396 (or 127394 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 58.

The spelling of 465644446564 in words is "four hundred sixty-five billion, six hundred forty-four million, four hundred forty-six thousand, five hundred sixty-four".