230930074742528 has 144 divisors (see below), whose sum is σ = 530509130350080. Its totient is φ = 98275465728000.

The previous prime is 230930074742453. The next prime is 230930074742617. The reversal of 230930074742528 is 825247470039032.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 684699758 + ... + 685036946.

Almost surely, 2^{230930074742528} is an apocalyptic number.

230930074742528 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 230930074742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265254565175040).

230930074742528 is an abundant number, since it is smaller than the sum of its proper divisors (299579055607552).

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

230930074742528 is a wasteful number, since it uses less digits than its factorization.

230930074742528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339894 (or 339880 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 56.

The spelling of 230930074742528 in words is "two hundred thirty trillion, nine hundred thirty billion, seventy-four million, seven hundred forty-two thousand, five hundred twenty-eight".