231138681944544 has 1440 divisors, whose sum is σ = 766840251969792. Its totient is φ = 68233914777600.

The previous prime is 231138681944519. The next prime is 231138681944617. The reversal of 231138681944544 is 445449186831132.

231138681944544 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 3 + 8 + 6 + 81 + 9 + 4 + 4 + 544 = 666.

It is a super-2 number, since 2×231138681944544² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 816744459027 + ... + 816744459309.

Almost surely, 2^{231138681944544} is an apocalyptic number.

231138681944544 is a gapful number since it is divisible by the number (24) 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 231138681944544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383420125984896).

231138681944544 is an abundant number, since it is smaller than the sum of its proper divisors (535701570025248).

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

231138681944544 is a wasteful number, since it uses less digits than its factorization.

231138681944544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 726 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 231138681944544 in words is "two hundred thirty-one trillion, one hundred thirty-eight billion, six hundred eighty-one million, nine hundred forty-four thousand, five hundred forty-four".