231479975136960 has 1344 divisors, whose sum is σ = 939252804833280. Its totient is φ = 53561685196800.

The previous prime is 231479975136953. The next prime is 231479975137007. The reversal of 231479975136960 is 69631579974132.

It is a happy number.

231479975136960 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 79 + 97 + 51 + 369 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2365781799 + ... + 2365879641.

It is an arithmetic number, because the mean of its divisors is an integer number (698848813120).

Almost surely, 2^{231479975136960} is an apocalyptic number.

231479975136960 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 231479975136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469626402416640).

231479975136960 is an abundant number, since it is smaller than the sum of its proper divisors (707772829696320).

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

231479975136960 is a wasteful number, since it uses less digits than its factorization.

231479975136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97995 (or 97968 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 231479975136960 in words is "two hundred thirty-one trillion, four hundred seventy-nine billion, nine hundred seventy-five million, one hundred thirty-six thousand, nine hundred sixty".