331980064416 has 1152 divisors, whose sum is σ = 1323560189952. Its totient is φ = 76777113600.

The previous prime is 331980064397. The next prime is 331980064421. The reversal of 331980064416 is 614460089133.

It is a super-2 number, since 2×331980064416² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1081368135 + ... + 1081368441.

It is an arithmetic number, because the mean of its divisors is an integer number (1148923776).

Almost surely, 2^331980064416 is an apocalyptic number.

331980064416 is a gapful number since it is divisible by the number (36) 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 331980064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661780094976).

331980064416 is an abundant number, since it is smaller than the sum of its proper divisors (991580125536).

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

331980064416 is a wasteful number, since it uses less digits than its factorization.

331980064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 331980064416 in words is "three hundred thirty-one billion, nine hundred eighty million, sixty-four thousand, four hundred sixteen".