331168296960 has 416 divisors, whose sum is σ = 1180471193280. Its totient is φ = 88077238272.

The previous prime is 331168296917. The next prime is 331168296967. The reversal of 331168296960 is 69692861133.

331168296960 is a `hidden beast` number, since 331 + 16 + 8 + 296 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×331168296960² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 331168296897 and 331168296906.

It is not an unprimeable number, because it can be changed into a prime (331168296967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338963992 + ... + 338964968.

Almost surely, 2^331168296960 is an apocalyptic number.

331168296960 is a gapful number since it is divisible by the number (30) 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 331168296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590235596640).

331168296960 is an abundant number, since it is smaller than the sum of its proper divisors (849302896320).

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

331168296960 is an equidigital number, since it uses as much as digits as its factorization.

331168296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 331168296960 in words is "three hundred thirty-one billion, one hundred sixty-eight million, two hundred ninety-six thousand, nine hundred sixty".