632514460032032 has 96 divisors (see below), whose sum is σ = 1336483080979200. Its totient is φ = 293750403268608.

The previous prime is 632514460032031. The next prime is 632514460032083. The reversal of 632514460032032 is 230230064415236.

632514460032032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×632514460032032² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (632514460032031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38438153 + ... + 52369079.

It is an arithmetic number, because the mean of its divisors is an integer number (13921698760200).

Almost surely, 2^{632514460032032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632514460032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668241540489600).

632514460032032 is an abundant number, since it is smaller than the sum of its proper divisors (703968620947168).

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

632514460032032 is a wasteful number, since it uses less digits than its factorization.

632514460032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13932418 (or 13932410 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 632514460032032 in words is "six hundred thirty-two trillion, five hundred fourteen billion, four hundred sixty million, thirty-two thousand, thirty-two".