230864322624 has 224 divisors, whose sum is σ = 702011068416. Its totient is φ = 66328657920.

The previous prime is 230864322583. The next prime is 230864322631. The reversal of 230864322624 is 426223468032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5367444 + ... + 5410284.

It is an arithmetic number, because the mean of its divisors is an integer number (3133977984).

Almost surely, 2^230864322624 is an apocalyptic number.

230864322624 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 230864322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351005534208).

230864322624 is an abundant number, since it is smaller than the sum of its proper divisors (471146745792).

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

230864322624 is a wasteful number, since it uses less digits than its factorization.

230864322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43013 (or 43003 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 230864322624 in words is "two hundred thirty billion, eight hundred sixty-four million, three hundred twenty-two thousand, six hundred twenty-four".