31371776964 has 216 divisors, whose sum is σ = 92805804000. Its totient is φ = 8902967040.

The previous prime is 31371776941. The next prime is 31371776993. The reversal of 31371776964 is 46967717313.

It is a super-2 number, since 2×31371776964² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31371776964.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7363867 + ... + 7368125.

It is an arithmetic number, because the mean of its divisors is an integer number (429656500).

Almost surely, 2^31371776964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31371776964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46402902000).

31371776964 is an abundant number, since it is smaller than the sum of its proper divisors (61434027036).

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

31371776964 is a wasteful number, since it uses less digits than its factorization.

31371776964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4383 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The spelling of 31371776964 in words is "thirty-one billion, three hundred seventy-one million, seven hundred seventy-six thousand, nine hundred sixty-four".