230759819136 has 1280 divisors, whose sum is σ = 927723456000. Its totient is φ = 56249303040.

The previous prime is 230759819131. The next prime is 230759819137. The reversal of 230759819136 is 631918957032.

230759819136 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 598 + 19 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230759819131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 665013715 + ... + 665014061.

It is an arithmetic number, because the mean of its divisors is an integer number (724783950).

Almost surely, 2^230759819136 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 230759819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463861728000).

230759819136 is an abundant number, since it is smaller than the sum of its proper divisors (696963636864).

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

230759819136 is a wasteful number, since it uses less digits than its factorization.

230759819136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 230759819136 in words is "two hundred thirty billion, seven hundred fifty-nine million, eight hundred nineteen thousand, one hundred thirty-six".