331968217328384 has 576 divisors, whose sum is σ = 899047396853760. Its totient is φ = 118576052305920.

The previous prime is 331968217328359. The next prime is 331968217328389. The reversal of 331968217328384 is 483823712869133.

It is a super-2 number, since 2×331968217328384² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331968217328389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2819898644 + ... + 2820016364.

Almost surely, 2^{331968217328384} 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 331968217328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449523698426880).

331968217328384 is an abundant number, since it is smaller than the sum of its proper divisors (567079179525376).

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

331968217328384 is a wasteful number, since it uses less digits than its factorization.

331968217328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118076 (or 118062 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 68.

The spelling of 331968217328384 in words is "three hundred thirty-one trillion, nine hundred sixty-eight billion, two hundred seventeen million, three hundred twenty-eight thousand, three hundred eighty-four".