232291138560 has 704 divisors, whose sum is σ = 858100303872. Its totient is φ = 53176172544.

The previous prime is 232291138559. The next prime is 232291138613. The reversal of 232291138560 is 65831192232.

232291138560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232291138560² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169926997 + ... + 169928363.

Almost surely, 2^232291138560 is an apocalyptic number.

232291138560 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 232291138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429050151936).

232291138560 is an abundant number, since it is smaller than the sum of its proper divisors (625809165312).

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

232291138560 is a wasteful number, since it uses less digits than its factorization.

232291138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 232291138560 in words is "two hundred thirty-two billion, two hundred ninety-one million, one hundred thirty-eight thousand, five hundred sixty".