321899752904352 has 1152 divisors, whose sum is σ = 1064973256704000. Its totient is φ = 83174823198720.

The previous prime is 321899752904347. The next prime is 321899752904383. The reversal of 321899752904352 is 253409257998123.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161030390649 + ... + 161030392647.

It is an arithmetic number, because the mean of its divisors is an integer number (924455952000).

Almost surely, 2^{321899752904352} is an apocalyptic number.

321899752904352 is a gapful number since it is divisible by the number (32) 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 321899752904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532486628352000).

321899752904352 is an abundant number, since it is smaller than the sum of its proper divisors (743073503799648).

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

321899752904352 is a wasteful number, since it uses less digits than its factorization.

321899752904352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 69.

The spelling of 321899752904352 in words is "three hundred twenty-one trillion, eight hundred ninety-nine billion, seven hundred fifty-two million, nine hundred four thousand, three hundred fifty-two".