331083361722960 has 1600 divisors, whose sum is σ = 1454841998438400. Its totient is φ = 67780642406400.

The previous prime is 331083361722947. The next prime is 331083361722989. The reversal of 331083361722960 is 69227163380133.

331083361722960 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 8 + 336 + 17 + 2 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 331083361722897 and 331083361722906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 77193600496 + ... + 77193604784.

It is an arithmetic number, because the mean of its divisors is an integer number (909276249024).

Almost surely, 2^{331083361722960} is an apocalyptic number.

331083361722960 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 331083361722960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727420999219200).

331083361722960 is an abundant number, since it is smaller than the sum of its proper divisors (1123758636715440).

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

331083361722960 is a wasteful number, since it uses less digits than its factorization.

331083361722960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 331083361722960 in words is "three hundred thirty-one trillion, eighty-three billion, three hundred sixty-one million, seven hundred twenty-two thousand, nine hundred sixty".