230813017344 has 504 divisors, whose sum is σ = 850241796992. Its totient is φ = 60869283840.

The previous prime is 230813017339. The next prime is 230813017397. The reversal of 230813017344 is 443710318032.

230813017344 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 1 + 301 + 7 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 230813017299 and 230813017308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16975989 + ... + 16989579.

Almost surely, 2^230813017344 is an apocalyptic number.

230813017344 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 230813017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425120898496).

230813017344 is an abundant number, since it is smaller than the sum of its proper divisors (619428779648).

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

230813017344 is an equidigital number, since it uses as much as digits as its factorization.

230813017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13645 (or 13616 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 230813017344 in words is "two hundred thirty billion, eight hundred thirteen million, seventeen thousand, three hundred forty-four".