8113459200 has 780 divisors, whose sum is σ = 34139170608. Its totient is φ = 1685913600.

The previous prime is 8113459199. The next prime is 8113459217. The reversal of 8113459200 is 29543118.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 737587195 + ... + 737587205.

Almost surely, 2^8113459200 is an apocalyptic number.

8113459200 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 8113459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069585304).

8113459200 is an abundant number, since it is smaller than the sum of its proper divisors (26025711408).

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

8113459200 is an equidigital number, since it uses as much as digits as its factorization.

8113459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8113459200 is about 90074.7422977163. The cubic root of 8113459200 is about 2009.4105843352.

Multiplying 8113459200 by its sum of digits (33), we get a square (267744153600 = 517440²).

8113459200 divided by its sum of digits (33) gives a square (245862400 = 15680²).

The spelling of 8113459200 in words is "eight billion, one hundred thirteen million, four hundred fifty-nine thousand, two hundred".