199117835024768 has 64 divisors (see below), whose sum is σ = 432747976619520. Its totient is φ = 90506832929280.

The previous prime is 199117835024741. The next prime is 199117835024783. The reversal of 199117835024768 is 867420538711991.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 102928121 + ... + 104844807.

It is an arithmetic number, because the mean of its divisors is an integer number (6761687134680).

It is a 1-persistent number, because it is pandigital, but 2⋅199117835024768 = 398235670049536 is not.

Almost surely, 2^{199117835024768} is an apocalyptic number.

It is an amenable number.

199117835024768 is an abundant number, since it is smaller than the sum of its proper divisors (233630141594752).

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

199117835024768 is a wasteful number, since it uses less digits than its factorization.

199117835024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990495 (or 1990483 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 71.

The spelling of 199117835024768 in words is "one hundred ninety-nine trillion, one hundred seventeen billion, eight hundred thirty-five million, twenty-four thousand, seven hundred sixty-eight".