230199837122304 has 432 divisors, whose sum is σ = 770376903528960. Its totient is φ = 64746381680640.

The previous prime is 230199837122293. The next prime is 230199837122323. The reversal of 230199837122304 is 403221738991032.

230199837122304 is a `hidden beast` number, since 2 + 3 + 0 + 199 + 83 + 71 + 2 + 2 + 304 = 666.

It is a super-2 number, since 2×230199837122304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632679842 + ... + 1632820830.

It is an arithmetic number, because the mean of its divisors is an integer number (1783279869280).

Almost surely, 2^{230199837122304} is an apocalyptic number.

230199837122304 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 230199837122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385188451764480).

230199837122304 is an abundant number, since it is smaller than the sum of its proper divisors (540177066406656).

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

230199837122304 is a wasteful number, since it uses less digits than its factorization.

230199837122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142596 (or 142579 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 230199837122304 in words is "two hundred thirty trillion, one hundred ninety-nine billion, eight hundred thirty-seven million, one hundred twenty-two thousand, three hundred four".