232016400000 has 2304 divisors, whose sum is σ = 1113768714240. Its totient is φ = 46656000000.

The previous prime is 232016399983. The next prime is 232016400013. The reversal of 232016400000 is 4610232.

It is a happy number.

232016400000 is a `hidden beast` number, since 2 + 3 + 20 + 1 + 640 + 0 + 0 + 0 + 0 = 666.

232016400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 7484399985 + ... + 7484400015.

It is an arithmetic number, because the mean of its divisors is an integer number (483406560).

Almost surely, 2^232016400000 is an apocalyptic number.

232016400000 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 232016400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556884357120).

232016400000 is an abundant number, since it is smaller than the sum of its proper divisors (881752314240).

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

232016400000 is an frugal number, since it uses more digits than its factorization.

232016400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 232016400000 in words is "two hundred thirty-two billion, sixteen million, four hundred thousand".