232083820800 has 648 divisors, whose sum is σ = 908406707208. Its totient is φ = 56180736000.

The previous prime is 232083820781. The next prime is 232083820849. The reversal of 232083820800 is 8028380232.

It can be written as a sum of positive squares in 12 ways, for example, as 206886703104 + 25197117696 = 454848^2 + 158736^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45674260 + ... + 45679340.

Almost surely, 2^232083820800 is an apocalyptic number.

232083820800 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 232083820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454203353604).

232083820800 is an abundant number, since it is smaller than the sum of its proper divisors (676322886408).

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

232083820800 is a wasteful number, since it uses less digits than its factorization.

232083820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 232083820800 in words is "two hundred thirty-two billion, eighty-three million, eight hundred twenty thousand, eight hundred".