331038374688 has 1152 divisors, whose sum is σ = 1236818903040. Its totient is φ = 84249538560.

The previous prime is 331038374683. The next prime is 331038374743. The reversal of 331038374688 is 886473830133.

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

It is not an unprimeable number, because it can be changed into a prime (331038374683) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4534772220 + ... + 4534772292.

It is an arithmetic number, because the mean of its divisors is an integer number (1073627520).

Almost surely, 2^331038374688 is an apocalyptic number.

331038374688 is a gapful number since it is divisible by the number (38) 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 331038374688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618409451520).

331038374688 is an abundant number, since it is smaller than the sum of its proper divisors (905780528352).

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

331038374688 is a wasteful number, since it uses less digits than its factorization.

331038374688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 331038374688 in words is "three hundred thirty-one billion, thirty-eight million, three hundred seventy-four thousand, six hundred eighty-eight".