8198916096 has 192 divisors, whose sum is σ = 25096780800. Its totient is φ = 2331721728.

The previous prime is 8198916091. The next prime is 8198916097. The reversal of 8198916096 is 6906198918.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (8198916091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16299781 + ... + 16300283.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^8198916096 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 8198916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548390400).

8198916096 is an abundant number, since it is smaller than the sum of its proper divisors (16897864704).

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

8198916096 is a wasteful number, since it uses less digits than its factorization.

8198916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 57.

The square root of 8198916096 is about 90547.8663249444. The cubic root of 8198916096 is about 2016.4408207102.

The spelling of 8198916096 in words is "eight billion, one hundred ninety-eight million, nine hundred sixteen thousand, ninety-six".