465144441564 has 48 divisors (see below), whose sum is σ = 1185717730176. Its totient is φ = 140748849600.

The previous prime is 465144441527. The next prime is 465144441577.

465144441564 is nontrivially palindromic in base 10.

It is a congruent number.

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, 2458587 + ... + 2641010.

It is an arithmetic number, because the mean of its divisors is an integer number (24702452712).

Almost surely, 2^465144441564 is an apocalyptic number.

465144441564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465144441564 is an abundant number, since it is smaller than the sum of its proper divisors (720573288612).

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

465144441564 is a wasteful number, since it uses less digits than its factorization.

465144441564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100306 (or 5100304 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 465144441564 in words is "four hundred sixty-five billion, one hundred forty-four million, four hundred forty-one thousand, five hundred sixty-four".