8230864896 has 336 divisors, whose sum is σ = 25512259500. Its totient is φ = 2651553792.

The previous prime is 8230864879. The next prime is 8230864903. The reversal of 8230864896 is 6984680328.

8230864896 is a `hidden beast` number, since 82 + 3 + 0 + 86 + 489 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8230118400 + 746496 = 90720^2 + 864^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55240630 + ... + 55240778.

Almost surely, 2^8230864896 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 8230864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756129750).

8230864896 is an abundant number, since it is smaller than the sum of its proper divisors (17281394604).

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

8230864896 is an equidigital number, since it uses as much as digits as its factorization.

8230864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 8230864896 is about 90724.1141924241. The cubic root of 8230864896 is about 2019.0565878573.

The spelling of 8230864896 in words is "eight billion, two hundred thirty million, eight hundred sixty-four thousand, eight hundred ninety-six".