331505934020976 has 320 divisors, whose sum is σ = 1027797261765120. Its totient is φ = 90739241349120.

The previous prime is 331505934020971. The next prime is 331505934020977. The reversal of 331505934020976 is 679020439505133.

It is a super-2 number, since 2×331505934020976² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331505934020971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136674990 + ... + 139079346.

It is an arithmetic number, because the mean of its divisors is an integer number (3211866443016).

Almost surely, 2^{331505934020976} 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 331505934020976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513898630882560).

331505934020976 is an abundant number, since it is smaller than the sum of its proper divisors (696291327744144).

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

331505934020976 is a wasteful number, since it uses less digits than its factorization.

331505934020976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404824 (or 2404818 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 57.

The spelling of 331505934020976 in words is "three hundred thirty-one trillion, five hundred five billion, nine hundred thirty-four million, twenty thousand, nine hundred seventy-six".