231275403187200 has 1584 divisors, whose sum is σ = 910985910045120. Its totient is φ = 57935415214080.

The previous prime is 231275403187193. The next prime is 231275403187237. The reversal of 231275403187200 is 2781304572132.

231275403187200 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 7 + 540 + 3 + 1 + 87 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65461476634 + ... + 65461480166.

Almost surely, 2^{231275403187200} is an apocalyptic number.

231275403187200 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 231275403187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455492955022560).

231275403187200 is an abundant number, since it is smaller than the sum of its proper divisors (679710506857920).

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

231275403187200 is a wasteful number, since it uses less digits than its factorization.

231275403187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 231275403187200 in words is "two hundred thirty-one trillion, two hundred seventy-five billion, four hundred three million, one hundred eighty-seven thousand, two hundred".