230871723264 has 432 divisors, whose sum is σ = 845725963264. Its totient is φ = 58923417600.

The previous prime is 230871723263. The next prime is 230871723307. The reversal of 230871723264 is 462327178032.

230871723264 is a `hidden beast` number, since 2 + 308 + 7 + 17 + 2 + 326 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230871723263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6481824 + ... + 6517344.

Almost surely, 2^230871723264 is an apocalyptic number.

230871723264 is a gapful number since it is divisible by the number (24) 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 230871723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422862981632).

230871723264 is an abundant number, since it is smaller than the sum of its proper divisors (614854240000).

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

230871723264 is a wasteful number, since it uses less digits than its factorization.

230871723264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35594 (or 35577 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 230871723264 in words is "two hundred thirty billion, eight hundred seventy-one million, seven hundred twenty-three thousand, two hundred sixty-four".