631361172734656 has 756 divisors, whose sum is σ = 1658588761618992. Its totient is φ = 237204584128512.

The previous prime is 631361172734647. The next prime is 631361172734683. The reversal of 631361172734656 is 656437271163136.

It is a super-3 number, since 3×631361172734656³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 631361172734594 and 631361172734603.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 270622018866 + ... + 270622021198.

It is an arithmetic number, because the mean of its divisors is an integer number (2193900478332).

Almost surely, 2^{631361172734656} 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 631361172734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829294380809496).

631361172734656 is an abundant number, since it is smaller than the sum of its proper divisors (1027227588884336).

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

631361172734656 is a wasteful number, since it uses less digits than its factorization.

631361172734656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2527 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 61.

The spelling of 631361172734656 in words is "six hundred thirty-one trillion, three hundred sixty-one billion, one hundred seventy-two million, seven hundred thirty-four thousand, six hundred fifty-six".