31368621315456 has 768 divisors, whose sum is σ = 99284525383680. Its totient is φ = 9475898572800.

The previous prime is 31368621315379. The next prime is 31368621315457. The reversal of 31368621315456 is 65451312686313.

31368621315456 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 8 + 62 + 1 + 31 + 545 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31368621315457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11674215745 + ... + 11674218431.

It is an arithmetic number, because the mean of its divisors is an integer number (129276725760).

Almost surely, 2^{31368621315456} is an apocalyptic number.

31368621315456 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 31368621315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49642262691840).

31368621315456 is an abundant number, since it is smaller than the sum of its proper divisors (67915904068224).

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

31368621315456 is a wasteful number, since it uses less digits than its factorization.

31368621315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3040 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 31368621315456 in words is "thirty-one trillion, three hundred sixty-eight billion, six hundred twenty-one million, three hundred fifteen thousand, four hundred fifty-six".