230113329264 has 480 divisors, whose sum is σ = 883423457280. Its totient is φ = 54112002048.

The previous prime is 230113329263. The next prime is 230113329269. The reversal of 230113329264 is 462923311032.

230113329264 is a `hidden beast` number, since 2 + 301 + 1 + 3 + 3 + 292 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230113329263) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4205409 + ... + 4259775.

It is an arithmetic number, because the mean of its divisors is an integer number (1840465536).

Almost surely, 2^230113329264 is an apocalyptic number.

230113329264 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 230113329264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441711728640).

230113329264 is an abundant number, since it is smaller than the sum of its proper divisors (653310128016).

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

230113329264 is a wasteful number, since it uses less digits than its factorization.

230113329264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54437 (or 54428 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 230113329264 in words is "two hundred thirty billion, one hundred thirteen million, three hundred twenty-nine thousand, two hundred sixty-four".