331545163968 has 336 divisors, whose sum is σ = 1068956460000. Its totient is φ = 97629732864.

The previous prime is 331545163931. The next prime is 331545163997. The reversal of 331545163968 is 869361545133.

331545163968 is a `hidden beast` number, since 3 + 3 + 1 + 545 + 1 + 6 + 3 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20271058 + ... + 20287406.

Almost surely, 2^331545163968 is an apocalyptic number.

331545163968 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 331545163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534478230000).

331545163968 is an abundant number, since it is smaller than the sum of its proper divisors (737411296032).

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

331545163968 is a wasteful number, since it uses less digits than its factorization.

331545163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16512 (or 16499 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 331545163968 in words is "three hundred thirty-one billion, five hundred forty-five million, one hundred sixty-three thousand, nine hundred sixty-eight".