230752800256 has 480 divisors, whose sum is σ = 563218951680. Its totient is φ = 94012047360.

The previous prime is 230752800217. The next prime is 230752800293. The reversal of 230752800256 is 652008257032.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2378894800 + ... + 2378894896.

It is an arithmetic number, because the mean of its divisors is an integer number (1173372816).

Almost surely, 2^230752800256 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 230752800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281609475840).

230752800256 is an abundant number, since it is smaller than the sum of its proper divisors (332466151424).

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

230752800256 is a wasteful number, since it uses less digits than its factorization.

230752800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 230752800256 in words is "two hundred thirty billion, seven hundred fifty-two million, eight hundred thousand, two hundred fifty-six".