8113465600 has 108 divisors (see below), whose sum is σ = 20119337280. Its totient is φ = 3239372800.

The previous prime is 8113465589. The next prime is 8113465601. The reversal of 8113465600 is 65643118.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8113465601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5368845 + ... + 5370355.

It is an arithmetic number, because the mean of its divisors is an integer number (186290160).

Almost surely, 2^8113465600 is an apocalyptic number.

8113465600 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 8113465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059668640).

8113465600 is an abundant number, since it is smaller than the sum of its proper divisors (12005871680).

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

8113465600 is a wasteful number, since it uses less digits than its factorization.

8113465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 8113465600 is about 90074.7778237615. Note that the first 3 decimals coincide. The cubic root of 8113465600 is about 2009.4111126846.

The spelling of 8113465600 in words is "eight billion, one hundred thirteen million, four hundred sixty-five thousand, six hundred".