230263062262128 has 400 divisors, whose sum is σ = 801962686103040. Its totient is φ = 62309694528000.

The previous prime is 230263062262127. The next prime is 230263062262171. The reversal of 230263062262128 is 821262260362032.

230263062262128 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 6 + 3 + 0 + 622 + 6 + 2 + 12 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230263062262127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 632580978 + ... + 632944878.

Almost surely, 2^{230263062262128} is an apocalyptic number.

230263062262128 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 230263062262128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400981343051520).

230263062262128 is an abundant number, since it is smaller than the sum of its proper divisors (571699623840912).

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

230263062262128 is a wasteful number, since it uses less digits than its factorization.

230263062262128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367618 (or 367603 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 230263062262128 in words is "two hundred thirty trillion, two hundred sixty-three billion, sixty-two million, two hundred sixty-two thousand, one hundred twenty-eight".