230258464128 has 896 divisors, whose sum is σ = 871196198400. Its totient is φ = 58853744640.

The previous prime is 230258464123. The next prime is 230258464153. The reversal of 230258464128 is 821464852032.

230258464128 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 584 + 6 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230258464123) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 524506533 + ... + 524506971.

Almost surely, 2^230258464128 is an apocalyptic number.

230258464128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230258464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435598099200).

230258464128 is an abundant number, since it is smaller than the sum of its proper divisors (640937734272).

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

230258464128 is an equidigital number, since it uses as much as digits as its factorization.

230258464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 230258464128 in words is "two hundred thirty billion, two hundred fifty-eight million, four hundred sixty-four thousand, one hundred twenty-eight".