231114811200 has 1008 divisors, whose sum is σ = 958804507584. Its totient is φ = 48306585600.

The previous prime is 231114811171. The next prime is 231114811253. The reversal of 231114811200 is 2118411132.

231114811200 is digitally balanced in base 3, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400545312 + ... + 400545888.

It is an arithmetic number, because the mean of its divisors is an integer number (951194948).

Almost surely, 2^231114811200 is an apocalyptic number.

231114811200 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 231114811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479402253792).

231114811200 is an abundant number, since it is smaller than the sum of its proper divisors (727689696384).

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

231114811200 is a wasteful number, since it uses less digits than its factorization.

231114811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 231114811200 in words is "two hundred thirty-one billion, one hundred fourteen million, eight hundred eleven thousand, two hundred".