232115293238400 has 864 divisors, whose sum is σ = 978384447490320. Its totient is φ = 51941871820800.

The previous prime is 232115293238357. The next prime is 232115293238407. The reversal of 232115293238400 is 4832392511232.

232115293238400 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 5 + 2 + 9 + 3 + 238 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (232115293238407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 51371487 + ... + 55706913.

Almost surely, 2^{232115293238400} is an apocalyptic number.

232115293238400 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 232115293238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489192223745160).

232115293238400 is an abundant number, since it is smaller than the sum of its proper divisors (746269154251920).

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

232115293238400 is a wasteful number, since it uses less digits than its factorization.

232115293238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335494 (or 4335461 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 232115293238400 in words is "two hundred thirty-two trillion, one hundred fifteen billion, two hundred ninety-three million, two hundred thirty-eight thousand, four hundred".