8199823104 has 432 divisors, whose sum is σ = 27963097344. Its totient is φ = 2372198400.

The previous prime is 8199823057. The next prime is 8199823133. The reversal of 8199823104 is 4013289918.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 8199823104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15738364 + ... + 15738884.

It is an arithmetic number, because the mean of its divisors is an integer number (64729392).

Almost surely, 2^8199823104 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 8199823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981548672).

8199823104 is an abundant number, since it is smaller than the sum of its proper divisors (19763274240).

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

8199823104 is a wasteful number, since it uses less digits than its factorization.

8199823104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8199823104 is about 90552.8746313445. The cubic root of 8199823104 is about 2016.5151744621.

The spelling of 8199823104 in words is "eight billion, one hundred ninety-nine million, eight hundred twenty-three thousand, one hundred four".