231531540505344 has 216 divisors, whose sum is σ = 675955478732352. Its totient is φ = 76211906641920.

The previous prime is 231531540505333. The next prime is 231531540505361. The reversal of 231531540505344 is 443505045135132.

231531540505344 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 3 + 1 + 540 + 50 + 53 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 231531540505344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68914614 + ... + 72196170.

Almost surely, 2^{231531540505344} is an apocalyptic number.

231531540505344 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 231531540505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337977739366176).

231531540505344 is an abundant number, since it is smaller than the sum of its proper divisors (444423938227008).

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

231531540505344 is a wasteful number, since it uses less digits than its factorization.

231531540505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281963 (or 3281946 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 231531540505344 in words is "two hundred thirty-one trillion, five hundred thirty-one billion, five hundred forty million, five hundred five thousand, three hundred forty-four".