230899138624 has 336 divisors, whose sum is σ = 618194384640. Its totient is φ = 83452723200.

The previous prime is 230899138559. The next prime is 230899138633. The reversal of 230899138624 is 426831998032.

230899138624 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 2×230899138624² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65427292 + ... + 65430820.

It is an arithmetic number, because the mean of its divisors is an integer number (1839864240).

Almost surely, 2^230899138624 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 230899138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309097192320).

230899138624 is an abundant number, since it is smaller than the sum of its proper divisors (387295246016).

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

230899138624 is a wasteful number, since it uses less digits than its factorization.

230899138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 230899138624 in words is "two hundred thirty billion, eight hundred ninety-nine million, one hundred thirty-eight thousand, six hundred twenty-four".