232651875600 has 135 divisors (see below), whose sum is σ = 807467077573. Its totient is φ = 62032782720.

The previous prime is 232651875571. The next prime is 232651875607. The reversal of 232651875600 is 6578156232.

The square root of 232651875600 is 482340.

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

232651875600 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 5 + 1 + 87 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83754675216 + 148897200384 = 289404^2 + 385872^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232651875607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28936381 + ... + 28944419.

Almost surely, 2^232651875600 is an apocalyptic number.

232651875600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

232651875600 is the 482340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232651875600

232651875600 is an abundant number, since it is smaller than the sum of its proper divisors (574815201973).

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

232651875600 is an frugal number, since it uses more digits than its factorization.

232651875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16102 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 232651875600 in words is "two hundred thirty-two billion, six hundred fifty-one million, eight hundred seventy-five thousand, six hundred".