631160031139872 has 288 divisors, whose sum is σ = 1853206953462144. Its totient is φ = 186964627783680.

The previous prime is 631160031139849. The next prime is 631160031139873. The reversal of 631160031139872 is 278931130061136.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (631160031139873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230106933 + ... + 232833675.

It is an arithmetic number, because the mean of its divisors is an integer number (6434746366188).

Almost surely, 2^{631160031139872} is an apocalyptic number.

631160031139872 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631160031139872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926603476731072).

631160031139872 is an abundant number, since it is smaller than the sum of its proper divisors (1222046922322272).

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

631160031139872 is a wasteful number, since it uses less digits than its factorization.

631160031139872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727024 (or 2726985 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 631160031139872 in words is "six hundred thirty-one trillion, one hundred sixty billion, thirty-one million, one hundred thirty-nine thousand, eight hundred seventy-two".