232346880000 has 960 divisors, whose sum is σ = 881166686400. Its totient is φ = 61212672000.

The previous prime is 232346879887. The next prime is 232346880011. The reversal of 232346880000 is 88643232.

232346880000 is a `hidden beast` number, since 232 + 346 + 8 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2799359959 + ... + 2799360041.

It is an arithmetic number, because the mean of its divisors is an integer number (917881965).

Almost surely, 2^232346880000 is an apocalyptic number.

232346880000 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 232346880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440583343200).

232346880000 is an abundant number, since it is smaller than the sum of its proper divisors (648819806400).

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

232346880000 is an frugal number, since it uses more digits than its factorization.

232346880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 232346880000 in words is "two hundred thirty-two billion, three hundred forty-six million, eight hundred eighty thousand".