31631485919616 has 576 divisors, whose sum is σ = 105108383736720. Its totient is φ = 9049706496000.

The previous prime is 31631485919611. The next prime is 31631485919633. The reversal of 31631485919616 is 61691958413613.

It is a happy number.

31631485919616 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 1 + 4 + 8 + 5 + 9 + 1 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31631485919611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499257796 + ... + 499321148.

Almost surely, 2^{31631485919616} is an apocalyptic number.

31631485919616 is a gapful number since it is divisible by the number (36) 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 31631485919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52554191868360).

31631485919616 is an abundant number, since it is smaller than the sum of its proper divisors (73476897817104).

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

31631485919616 is a wasteful number, since it uses less digits than its factorization.

31631485919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63487 (or 63441 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 31631485919616 in words is "thirty-one trillion, six hundred thirty-one billion, four hundred eighty-five million, nine hundred nineteen thousand, six hundred sixteen".