331430787072 has 1152 divisors, whose sum is σ = 1280407564800. Its totient is φ = 83308953600.

The previous prime is 331430787059. The next prime is 331430787109. The reversal of 331430787072 is 270787034133.

331430787072 is a `hidden beast` number, since 331 + 4 + 307 + 8 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10691315697 + ... + 10691315727.

It is an arithmetic number, because the mean of its divisors is an integer number (1111464900).

Almost surely, 2^331430787072 is an apocalyptic number.

331430787072 is a gapful number since it is divisible by the number (32) 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 331430787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640203782400).

331430787072 is an abundant number, since it is smaller than the sum of its proper divisors (948976777728).

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

331430787072 is an frugal number, since it uses more digits than its factorization.

331430787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 331430787072 in words is "three hundred thirty-one billion, four hundred thirty million, seven hundred eighty-seven thousand, seventy-two".