230006859264 has 720 divisors, whose sum is σ = 839499268608. Its totient is φ = 60085960704.

The previous prime is 230006859263. The next prime is 230006859283. The reversal of 230006859264 is 462958600032.

230006859264 is a `hidden beast` number, since 2 + 300 + 0 + 6 + 85 + 9 + 264 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230006859263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 372782284 + ... + 372782900.

Almost surely, 2^230006859264 is an apocalyptic number.

230006859264 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 230006859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419749634304).

230006859264 is an abundant number, since it is smaller than the sum of its proper divisors (609492409344).

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

230006859264 is a wasteful number, since it uses less digits than its factorization.

230006859264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 230006859264 in words is "two hundred thirty billion, six million, eight hundred fifty-nine thousand, two hundred sixty-four".