444632502362664 has 128 divisors (see below), whose sum is σ = 1399322565089280. Its totient is φ = 114367709548800.

The previous prime is 444632502362663. The next prime is 444632502362681. The reversal of 444632502362664 is 466263205236444.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (444632502362663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167780547 + ... + 1168161234.

It is an arithmetic number, because the mean of its divisors is an integer number (10932207539760).

Almost surely, 2^{444632502362664} is an apocalyptic number.

444632502362664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444632502362664 is an abundant number, since it is smaller than the sum of its proper divisors (954690062726616).

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

444632502362664 is a wasteful number, since it uses less digits than its factorization.

444632502362664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335941911 (or 2335941907 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 57.

The spelling of 444632502362664 in words is "four hundred forty-four trillion, six hundred thirty-two billion, five hundred two million, three hundred sixty-two thousand, six hundred sixty-four".