331530038112 has 384 divisors, whose sum is σ = 1086477235200. Its totient is φ = 86187442176.

The previous prime is 331530038093. The next prime is 331530038143. The reversal of 331530038112 is 211830035133.

It is a self number, because there is not a number n which added to its sum of digits gives 331530038112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448619439 + ... + 448620177.

It is an arithmetic number, because the mean of its divisors is an integer number (2829367800).

Almost surely, 2^331530038112 is an apocalyptic number.

331530038112 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 331530038112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543238617600).

331530038112 is an abundant number, since it is smaller than the sum of its proper divisors (754947197088).

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

331530038112 is a wasteful number, since it uses less digits than its factorization.

331530038112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 331530038112 in words is "three hundred thirty-one billion, five hundred thirty million, thirty-eight thousand, one hundred twelve".