232850509113600 has 2187 divisors, whose sum is σ = 1004083991001819. Its totient is φ = 51330314649600.

The previous prime is 232850509113529. The next prime is 232850509113611. The reversal of 232850509113600 is 6311905058232.

The square root of 232850509113600 is 15259440.

It is a perfect power (a square), and thus also a powerful number.

232850509113600 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 5 + 0 + 509 + 1 + 136 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36875596310784 + 195974912802816 = 6072528^2 + 13999104^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 794711635054 + ... + 794711635346.

Almost surely, 2^{232850509113600} is an apocalyptic number.

232850509113600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

232850509113600 is the 15259440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232850509113600

232850509113600 is an abundant number, since it is smaller than the sum of its proper divisors (771233481888219).

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

232850509113600 is an equidigital number, since it uses as much as digits as its factorization.

232850509113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 232850509113600 in words is "two hundred thirty-two trillion, eight hundred fifty billion, five hundred nine million, one hundred thirteen thousand, six hundred".