631016054356800 has 672 divisors, whose sum is σ = 2388605758589952. Its totient is φ = 142855331512320.

The previous prime is 631016054356783. The next prime is 631016054356837. The reversal of 631016054356800 is 8653450610136.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 631016054356800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21294354784 + ... + 21294384416.

Almost surely, 2^{631016054356800} is an apocalyptic number.

631016054356800 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 631016054356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194302879294976).

631016054356800 is an abundant number, since it is smaller than the sum of its proper divisors (1757589704233152).

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

631016054356800 is a wasteful number, since it uses less digits than its factorization.

631016054356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35695 (or 35680 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 631016054356800 in words is "six hundred thirty-one trillion, sixteen billion, fifty-four million, three hundred fifty-six thousand, eight hundred".