631966634400384 has 96 divisors (see below), whose sum is σ = 1837297756961940. Its totient is φ = 208483838115840.

The previous prime is 631966634400331. The next prime is 631966634400397. The reversal of 631966634400384 is 483004436669136.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 530623756113984 + 101342878286400 = 23035272^2 + 10066920^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×631966634400384² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2827631287 + ... + 2827854774.

Almost surely, 2^{631966634400384} is an apocalyptic number.

631966634400384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

631966634400384 is an abundant number, since it is smaller than the sum of its proper divisors (1205331122561556).

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

631966634400384 is a wasteful number, since it uses less digits than its factorization.

631966634400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655486178 (or 5655486163 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 63.

The spelling of 631966634400384 in words is "six hundred thirty-one trillion, nine hundred sixty-six billion, six hundred thirty-four million, four hundred thousand, three hundred eighty-four".