232800181920 has 1152 divisors, whose sum is σ = 912994467840. Its totient is φ = 55819653120.

The previous prime is 232800181847. The next prime is 232800181921. The reversal of 232800181920 is 29181008232.

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

It is not an unprimeable number, because it can be changed into a prime (232800181921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218849025 + ... + 1218849215.

It is an arithmetic number, because the mean of its divisors is an integer number (792529920).

Almost surely, 2^232800181920 is an apocalyptic number.

232800181920 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 232800181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456497233920).

232800181920 is an abundant number, since it is smaller than the sum of its proper divisors (680194285920).

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

232800181920 is a wasteful number, since it uses less digits than its factorization.

232800181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 232800181920 in words is "two hundred thirty-two billion, eight hundred million, one hundred eighty-one thousand, nine hundred twenty".