199791816192 has 840 divisors, whose sum is σ = 679631719536. Its totient is φ = 58334183424.

The previous prime is 199791816157. The next prime is 199791816233. The reversal of 199791816192 is 291618197991.

199791816192 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 9 + 1 + 8 + 1 + 619 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5399778798 + ... + 5399778834.

Almost surely, 2^199791816192 is an apocalyptic number.

199791816192 is a gapful number since it is divisible by the number (12) 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 199791816192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339815859768).

199791816192 is an abundant number, since it is smaller than the sum of its proper divisors (479839903344).

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

199791816192 is an frugal number, since it uses more digits than its factorization.

199791816192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 82 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 63.

The spelling of 199791816192 in words is "one hundred ninety-nine billion, seven hundred ninety-one million, eight hundred sixteen thousand, one hundred ninety-two".