232321996800 has 864 divisors, whose sum is σ = 878321283840. Its totient is φ = 60847718400.

The previous prime is 232321996799. The next prime is 232321996813. The reversal of 232321996800 is 8699123232.

It is a happy number.

232321996800 is a `hidden beast` number, since 232 + 321 + 9 + 96 + 8 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 883353469 + ... + 883353731.

It is an arithmetic number, because the mean of its divisors is an integer number (1016575560).

Almost surely, 2^232321996800 is an apocalyptic number.

232321996800 is a gapful number since it is divisible by the number (20) 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 232321996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439160641920).

232321996800 is an abundant number, since it is smaller than the sum of its proper divisors (645999287040).

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

232321996800 is an equidigital number, since it uses as much as digits as its factorization.

232321996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 232321996800 in words is "two hundred thirty-two billion, three hundred twenty-one million, nine hundred ninety-six thousand, eight hundred".