230845317120 has 608 divisors, whose sum is σ = 896908256640. Its totient is φ = 55868129280.

The previous prime is 230845317119. The next prime is 230845317163. The reversal of 230845317120 is 21713548032.

230845317120 is a `hidden beast` number, since 2 + 30 + 8 + 4 + 531 + 71 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389283544 + ... + 389284136.

Almost surely, 2^230845317120 is an apocalyptic number.

230845317120 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 230845317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448454128320).

230845317120 is an abundant number, since it is smaller than the sum of its proper divisors (666062939520).

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

230845317120 is an frugal number, since it uses more digits than its factorization.

230845317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 230845317120 in words is "two hundred thirty billion, eight hundred forty-five million, three hundred seventeen thousand, one hundred twenty".