465438484834564 has 48 divisors (see below), whose sum is σ = 831720150097200. Its totient is φ = 227850909382656.

The previous prime is 465438484834481. The next prime is 465438484834613.

465438484834564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2997545120964 + 462440939713600 = 1731342^2 + 21504440^2 .

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, 2386901182 + ... + 2387096170.

It is an arithmetic number, because the mean of its divisors is an integer number (17327503127025).

Almost surely, 2^{465438484834564} is an apocalyptic number.

It is an amenable number.

465438484834564 is a deficient number, since it is larger than the sum of its proper divisors (366281665262636).

465438484834564 is a wasteful number, since it uses less digits than its factorization.

465438484834564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254872 (or 254870 counting only the distinct ones).

The product of its digits is 16986931200, while the sum is 76.

The spelling of 465438484834564 in words is "four hundred sixty-five trillion, four hundred thirty-eight billion, four hundred eighty-four million, eight hundred thirty-four thousand, five hundred sixty-four".