331164864008 has 64 divisors (see below), whose sum is σ = 682028968320. Its totient is φ = 149497920000.

The previous prime is 331164863999. The next prime is 331164864049. The reversal of 331164864008 is 800468461133.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a self number, because there is not a number n which added to its sum of digits gives 331164864008.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36787508 + ... + 36796508.

It is an arithmetic number, because the mean of its divisors is an integer number (10656702630).

Almost surely, 2^331164864008 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 331164864008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341014484160).

331164864008 is an abundant number, since it is smaller than the sum of its proper divisors (350864104312).

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

331164864008 is a wasteful number, since it uses less digits than its factorization.

331164864008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 331164864008 in words is "three hundred thirty-one billion, one hundred sixty-four million, eight hundred sixty-four thousand, eight".