31157307633816 has 240 divisors, whose sum is σ = 107998541046000. Its totient is φ = 8217311701248.

The previous prime is 31157307633797. The next prime is 31157307633857. The reversal of 31157307633816 is 61833670375113.

31157307633816 is a `hidden beast` number, since 3 + 1 + 1 + 573 + 0 + 7 + 63 + 3 + 8 + 1 + 6 = 666.

31157307633816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19555591 + ... + 21088758.

It is an arithmetic number, because the mean of its divisors is an integer number (449993921025).

Almost surely, 2^{31157307633816} is an apocalyptic number.

31157307633816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31157307633816 is an abundant number, since it is smaller than the sum of its proper divisors (76841233412184).

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

31157307633816 is a wasteful number, since it uses less digits than its factorization.

31157307633816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644400 (or 40644374 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 31157307633816 in words is "thirty-one trillion, one hundred fifty-seven billion, three hundred seven million, six hundred thirty-three thousand, eight hundred sixteen".