232113663200 has 144 divisors (see below), whose sum is σ = 591632820576. Its totient is φ = 88756377600.

The previous prime is 232113663169. The next prime is 232113663217. The reversal of 232113663200 is 2366311232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48223994 + ... + 48228806.

It is an arithmetic number, because the mean of its divisors is an integer number (4108561254).

Almost surely, 2^232113663200 is an apocalyptic number.

232113663200 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 232113663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295816410288).

232113663200 is an abundant number, since it is smaller than the sum of its proper divisors (359519157376).

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

232113663200 is a wasteful number, since it uses less digits than its factorization.

232113663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 232113663200 its reverse (2366311232), we get a palindrome (234479974432).

The spelling of 232113663200 in words is "two hundred thirty-two billion, one hundred thirteen million, six hundred sixty-three thousand, two hundred".