199111490862336 has 1080 divisors, whose sum is σ = 664547000692344. Its totient is φ = 59223528898560.

The previous prime is 199111490862181. The next prime is 199111490862397. The reversal of 199111490862336 is 633268094111991.

199111490862336 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 11 + 490 + 86 + 23 + 36 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 82079251257600 + 117032239604736 = 9059760^2 + 10818144^2 .

It is a super-2 number, since 2×199111490862336² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20356961766 + ... + 20356971546.

Almost surely, 2^{199111490862336} is an apocalyptic number.

199111490862336 is a gapful number since it is divisible by the number (16) 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 199111490862336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332273500346172).

199111490862336 is an abundant number, since it is smaller than the sum of its proper divisors (465435509830008).

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

199111490862336 is a wasteful number, since it uses less digits than its factorization.

199111490862336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 199111490862336 in words is "one hundred ninety-nine trillion, one hundred eleven billion, four hundred ninety million, eight hundred sixty-two thousand, three hundred thirty-six".