199749269634768 has 240 divisors, whose sum is σ = 688478210526720. Its totient is φ = 55230212620800.

The previous prime is 199749269634751. The next prime is 199749269634773. The reversal of 199749269634768 is 867436962947991.

199749269634768 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 49 + 2 + 6 + 96 + 3 + 476 + 8 = 666.

It is a super-2 number, since 2×199749269634768² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 151543453 + ... + 152855868.

It is an arithmetic number, because the mean of its divisors is an integer number (2868659210528).

Almost surely, 2^{199749269634768} is an apocalyptic number.

199749269634768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199749269634768 is an abundant number, since it is smaller than the sum of its proper divisors (488728940891952).

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

199749269634768 is a wasteful number, since it uses less digits than its factorization.

199749269634768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304399383 (or 304399364 counting only the distinct ones).

The product of its digits is 53331167232, while the sum is 90.

The spelling of 199749269634768 in words is "one hundred ninety-nine trillion, seven hundred forty-nine billion, two hundred sixty-nine million, six hundred thirty-four thousand, seven hundred sixty-eight".