321352932096 has 864 divisors, whose sum is σ = 1154864578560. Its totient is φ = 87787929600.

The previous prime is 321352932079. The next prime is 321352932119. The reversal of 321352932096 is 690239253123.

It is a happy number.

321352932096 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 529 + 32 + 0 + 96 = 666.

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

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, 1333414536 + ... + 1333414776.

Almost surely, 2^321352932096 is an apocalyptic number.

321352932096 is a gapful number since it is divisible by the number (36) 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 321352932096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577432289280).

321352932096 is an abundant number, since it is smaller than the sum of its proper divisors (833511646464).

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

321352932096 is a wasteful number, since it uses less digits than its factorization.

321352932096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 321352932096 in words is "three hundred twenty-one billion, three hundred fifty-two million, nine hundred thirty-two thousand, ninety-six".