322339868928 has 864 divisors, whose sum is σ = 1249114890240. Its totient is φ = 80994816000.

The previous prime is 322339868909. The next prime is 322339868933. The reversal of 322339868928 is 829868933223.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×322339868928² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115491213 + ... + 115494003.

Almost surely, 2^322339868928 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 322339868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624557445120).

322339868928 is an abundant number, since it is smaller than the sum of its proper divisors (926775021312).

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

322339868928 is a wasteful number, since it uses less digits than its factorization.

322339868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2845 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 322339868928 in words is "three hundred twenty-two billion, three hundred thirty-nine million, eight hundred sixty-eight thousand, nine hundred twenty-eight".