322968826875888 has 240 divisors, whose sum is σ = 914338641914880. Its totient is φ = 106415302017024.

The previous prime is 322968826875839. The next prime is 322968826875967. The reversal of 322968826875888 is 888578628869223.

It is a happy number.

322968826875888 is a `hidden beast` number, since 3 + 2 + 296 + 8 + 8 + 268 + 7 + 58 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 322968826875798 and 322968826875807.

It is a congruent number.

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, 11762699856 + ... + 11762727312.

It is an arithmetic number, because the mean of its divisors is an integer number (3809744341312).

Almost surely, 2^{322968826875888} 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 322968826875888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457169320957440).

322968826875888 is an abundant number, since it is smaller than the sum of its proper divisors (591369815038992).

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

322968826875888 is a wasteful number, since it uses less digits than its factorization.

322968826875888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29944 (or 29935 counting only the distinct ones).

The product of its digits is 71345111040, while the sum is 90.

The spelling of 322968826875888 in words is "three hundred twenty-two trillion, nine hundred sixty-eight billion, eight hundred twenty-six million, eight hundred seventy-five thousand, eight hundred eighty-eight".