231083393260032 has 1200 divisors, whose sum is σ = 743554823945472. Its totient is φ = 71313539235840.

The previous prime is 231083393259977. The next prime is 231083393260039. The reversal of 231083393260032 is 230062393380132.

It is a happy number.

231083393260032 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 8 + 3 + 3 + 9 + 3 + 2 + 600 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 231083393260032.

It is not an unprimeable number, because it can be changed into a prime (231083393260039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 353879621818 + ... + 353879622470.

Almost surely, 2^{231083393260032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231083393260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371777411972736).

231083393260032 is an abundant number, since it is smaller than the sum of its proper divisors (512471430685440).

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

231083393260032 is an equidigital number, since it uses as much as digits as its factorization.

231083393260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 231083393260032 in words is "two hundred thirty-one trillion, eighty-three billion, three hundred ninety-three million, two hundred sixty thousand, thirty-two".