199195680868900 has 81 divisors (see below), whose sum is σ = 434270297188371. Its totient is φ = 79308437738880.

The previous prime is 199195680868867. The next prime is 199195680868901. The reversal of 199195680868900 is 9868086591991.

The square root of 199195680868900 is 14113670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3621721098724 + 195573959770176 = 1903082^2 + 13984776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199195680868901) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 31473480936 + ... + 31473487264.

Almost surely, 2^{199195680868900} is an apocalyptic number.

199195680868900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199195680868900 is the 14113670-th square number.

It is an amenable number.

199195680868900 is an abundant number, since it is smaller than the sum of its proper divisors (235074616319471).

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

199195680868900 is an frugal number, since it uses more digits than its factorization.

199195680868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 79.

The spelling of 199195680868900 in words is "one hundred ninety-nine trillion, one hundred ninety-five billion, six hundred eighty million, eight hundred sixty-eight thousand, nine hundred".