8231115200 has 336 divisors, whose sum is σ = 25634216448. Its totient is φ = 2526720000.

The previous prime is 8231115161. The next prime is 8231115239. The reversal of 8231115200 is 25111328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8231115161) and next prime (8231115239).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8746730 + ... + 8747670.

Almost surely, 2^8231115200 is an apocalyptic number.

8231115200 is a gapful number since it is divisible by the number (80) 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 8231115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817108224).

8231115200 is an abundant number, since it is smaller than the sum of its proper divisors (17403101248).

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

8231115200 is a wasteful number, since it uses less digits than its factorization.

8231115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 8231115200 is about 90725.4936608228. The cubic root of 8231115200 is about 2019.0770544314.

Adding to 8231115200 its reverse (25111328), we get a palindrome (8256226528).

The spelling of 8231115200 in words is "eight billion, two hundred thirty-one million, one hundred fifteen thousand, two hundred".