631320164112000 has 512 divisors, whose sum is σ = 2284153737465600. Its totient is φ = 152975554560000.

The previous prime is 631320164111933. The next prime is 631320164112097. The reversal of 631320164112000 is 211461023136.

It is a super-2 number, since 2×631320164112000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130168766 + ... + 1130727234.

Almost surely, 2^{631320164112000} is an apocalyptic number.

631320164112000 is a gapful number since it is divisible by the number (60) 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 631320164112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142076868732800).

631320164112000 is an abundant number, since it is smaller than the sum of its proper divisors (1652833573353600).

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

631320164112000 is a wasteful number, since it uses less digits than its factorization.

631320164112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560653 (or 560631 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 631320164112000 in words is "six hundred thirty-one trillion, three hundred twenty billion, one hundred sixty-four million, one hundred twelve thousand".