465712217564 has 24 divisors (see below), whose sum is σ = 891112252800. Its totient is φ = 211205159280.

The previous prime is 465712217563. The next prime is 465712217687.

It is a happy number.

465712217564 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465712217563) 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, 12035774 + ... + 12074405.

It is an arithmetic number, because the mean of its divisors is an integer number (37129677200).

Almost surely, 2^465712217564 is an apocalyptic number.

465712217564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465712217564 is a deficient number, since it is larger than the sum of its proper divisors (425400035236).

465712217564 is a wasteful number, since it uses less digits than its factorization.

465712217564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24110633 (or 24110631 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

It can be divided in two parts, 4657 and 12217564, that added together give a palindrome (12222221).

The spelling of 465712217564 in words is "four hundred sixty-five billion, seven hundred twelve million, two hundred seventeen thousand, five hundred sixty-four".