31929856416 has 144 divisors (see below), whose sum is σ = 96235776000. Its totient is φ = 10007414784.

The previous prime is 31929856327. The next prime is 31929856417. The reversal of 31929856416 is 61465892913.

31929856416 is a `hidden beast` number, since 3 + 1 + 92 + 98 + 56 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (31929856417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6259435 + ... + 6264533.

It is an arithmetic number, because the mean of its divisors is an integer number (668304000).

Almost surely, 2^31929856416 is an apocalyptic number.

31929856416 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 31929856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888000).

31929856416 is an abundant number, since it is smaller than the sum of its proper divisors (64305919584).

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

31929856416 is a wasteful number, since it uses less digits than its factorization.

31929856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6400 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 31929856416 in words is "thirty-one billion, nine hundred twenty-nine million, eight hundred fifty-six thousand, four hundred sixteen".