232114235231200 has 432 divisors, whose sum is σ = 694903627321344. Its totient is φ = 75376228838400.

The previous prime is 232114235231167. The next prime is 232114235231237. The reversal of 232114235231200 is 2132532411232.

It is a happy number.

232114235231200 is digitally balanced in base 2, 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 (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55082389 + ... + 59146411.

It is an arithmetic number, because the mean of its divisors is an integer number (1608573211392).

Almost surely, 2^{232114235231200} is an apocalyptic number.

232114235231200 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 232114235231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347451813660672).

232114235231200 is an abundant number, since it is smaller than the sum of its proper divisors (462789392090144).

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

232114235231200 is a wasteful number, since it uses less digits than its factorization.

232114235231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064135 (or 4064115 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 232114235231200 its reverse (2132532411232), we get a palindrome (234246767642432).

The spelling of 232114235231200 in words is "two hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty-five million, two hundred thirty-one thousand, two hundred".