331712826395328 has 1008 divisors, whose sum is σ = 1176471500260320. Its totient is φ = 91380511272960.

The previous prime is 331712826395323. The next prime is 331712826395369. The reversal of 331712826395328 is 823593628217133.

331712826395328 is a `hidden beast` number, since 3 + 3 + 1 + 7 + 12 + 82 + 6 + 3 + 9 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×331712826395328² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (331712826395323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22539425026 + ... + 22539439742.

Almost surely, 2^{331712826395328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331712826395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588235750130160).

331712826395328 is an abundant number, since it is smaller than the sum of its proper divisors (844758673864992).

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

331712826395328 is a wasteful number, since it uses less digits than its factorization.

331712826395328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091 (or 15037 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 331712826395328 in words is "three hundred thirty-one trillion, seven hundred twelve billion, eight hundred twenty-six million, three hundred ninety-five thousand, three hundred twenty-eight".