230272101222528 has 256 divisors, whose sum is σ = 639749698421760. Its totient is φ = 73248250859520.

The previous prime is 230272101222497. The next prime is 230272101222529. The reversal of 230272101222528 is 825222101272032.

It is not an unprimeable number, because it can be changed into a prime (230272101222529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7124078175 + ... + 7124110497.

It is an arithmetic number, because the mean of its divisors is an integer number (2499022259460).

Almost surely, 2^{230272101222528} 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 230272101222528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319874849210880).

230272101222528 is an abundant number, since it is smaller than the sum of its proper divisors (409477597199232).

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

230272101222528 is a wasteful number, since it uses less digits than its factorization.

230272101222528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34227 (or 34215 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 230272101222528 in words is "two hundred thirty trillion, two hundred seventy-two billion, one hundred one million, two hundred twenty-two thousand, five hundred twenty-eight".