331311838080 has 128 divisors (see below), whose sum is σ = 1057154503680. Its totient is φ = 88257964032.

The previous prime is 331311838073. The next prime is 331311838103. The reversal of 331311838080 is 80838113133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767417 + ... + 1945863.

It is an arithmetic number, because the mean of its divisors is an integer number (8259019560).

Almost surely, 2^331311838080 is an apocalyptic number.

331311838080 is a gapful number since it is divisible by the number (30) 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 331311838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528577251840).

331311838080 is an abundant number, since it is smaller than the sum of its proper divisors (725842665600).

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

331311838080 is a wasteful number, since it uses less digits than its factorization.

331311838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179436 (or 179424 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 331311838080 in words is "three hundred thirty-one billion, three hundred eleven million, eight hundred thirty-eight thousand, eighty".