230993590249728 has 864 divisors, whose sum is σ = 754307535421440. Its totient is φ = 67631635169280.

The previous prime is 230993590249691. The next prime is 230993590249781. The reversal of 230993590249728 is 827942095399032.

230993590249728 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 9 + 3 + 590 + 2 + 4 + 9 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4124636575 + ... + 4124692577.

It is an arithmetic number, because the mean of its divisors is an integer number (873041128960).

Almost surely, 2^{230993590249728} 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 230993590249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377153767710720).

230993590249728 is an abundant number, since it is smaller than the sum of its proper divisors (523313945171712).

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

230993590249728 is a wasteful number, since it uses less digits than its factorization.

230993590249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56195 (or 56178 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 230993590249728 in words is "two hundred thirty trillion, nine hundred ninety-three billion, five hundred ninety million, two hundred forty-nine thousand, seven hundred twenty-eight".