31682818901916 has 384 divisors, whose sum is σ = 103292723036160. Its totient is φ = 8174513965824.

The previous prime is 31682818901887. The next prime is 31682818901927. The reversal of 31682818901916 is 61910981828613.

31682818901916 is a `hidden beast` number, since 3 + 168 + 281 + 8 + 9 + 0 + 191 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1139532871 + ... + 1139560673.

It is an arithmetic number, because the mean of its divisors is an integer number (268991466240).

Almost surely, 2^{31682818901916} is an apocalyptic number.

31682818901916 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 31682818901916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51646361518080).

31682818901916 is an abundant number, since it is smaller than the sum of its proper divisors (71609904134244).

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

31682818901916 is a wasteful number, since it uses less digits than its factorization.

31682818901916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30350 (or 30342 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 31682818901916 in words is "thirty-one trillion, six hundred eighty-two billion, eight hundred eighteen million, nine hundred one thousand, nine hundred sixteen".