8199192456 has 192 divisors, whose sum is σ = 27430341120. Its totient is φ = 2154539520.

The previous prime is 8199192431. The next prime is 8199192461. The reversal of 8199192456 is 6542919918.

8199192456 is a `hidden beast` number, since 8 + 19 + 91 + 92 + 456 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1917601 + ... + 1921871.

It is an arithmetic number, because the mean of its divisors is an integer number (142866360).

Almost surely, 2^8199192456 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 8199192456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715170560).

8199192456 is an abundant number, since it is smaller than the sum of its proper divisors (19231148664).

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

8199192456 is a wasteful number, since it uses less digits than its factorization.

8199192456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4589 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 8199192456 is about 90549.3923557745. The cubic root of 8199192456 is about 2016.4634764417.

The spelling of 8199192456 in words is "eight billion, one hundred ninety-nine million, one hundred ninety-two thousand, four hundred fifty-six".