322996534416960 has 224 divisors, whose sum is σ = 1028363284270080. Its totient is φ = 85893144010752.

The previous prime is 322996534416953. The next prime is 322996534416973. The reversal of 322996534416960 is 69614435699223.

It is a super-2 number, since 2×322996534416960² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4264336849 + ... + 4264412591.

Almost surely, 2^{322996534416960} is an apocalyptic number.

322996534416960 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 322996534416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514181642135040).

322996534416960 is an abundant number, since it is smaller than the sum of its proper divisors (705366749853120).

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

322996534416960 is a wasteful number, since it uses less digits than its factorization.

322996534416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88045 (or 88035 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 69.

The spelling of 322996534416960 in words is "three hundred twenty-two trillion, nine hundred ninety-six billion, five hundred thirty-four million, four hundred sixteen thousand, nine hundred sixty".