230097635852352 has 224 divisors, whose sum is σ = 630634808832000. Its totient is φ = 73955509512192.

The previous prime is 230097635852303. The next prime is 230097635852377. The reversal of 230097635852352 is 253258536790032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13888905573 + ... + 13888922139.

It is an arithmetic number, because the mean of its divisors is an integer number (2815333968000).

Almost surely, 2^{230097635852352} 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 230097635852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315317404416000).

230097635852352 is an abundant number, since it is smaller than the sum of its proper divisors (400537172979648).

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

230097635852352 is a wasteful number, since it uses less digits than its factorization.

230097635852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19793 (or 19783 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 230097635852352 in words is "two hundred thirty trillion, ninety-seven billion, six hundred thirty-five million, eight hundred fifty-two thousand, three hundred fifty-two".