230595889395168 has 576 divisors, whose sum is σ = 746000646902784. Its totient is φ = 66950489088000.

The previous prime is 230595889395101. The next prime is 230595889395187. The reversal of 230595889395168 is 861593988595032.

230595889395168 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 9 + 5 + 8 + 8 + 93 + 9 + 516 + 8 = 666.

230595889395168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5126267205 + ... + 5126312187.

It is an arithmetic number, because the mean of its divisors is an integer number (1295140011984).

Almost surely, 2^{230595889395168} 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 230595889395168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373000323451392).

230595889395168 is an abundant number, since it is smaller than the sum of its proper divisors (515404757507616).

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

230595889395168 is a wasteful number, since it uses less digits than its factorization.

230595889395168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45759 (or 45748 counting only the distinct ones).

The product of its (nonzero) digits is 5038848000, while the sum is 81.

The spelling of 230595889395168 in words is "two hundred thirty trillion, five hundred ninety-five billion, eight hundred eighty-nine million, three hundred ninety-five thousand, one hundred sixty-eight".