199668486768100 has 243 divisors, whose sum is σ = 506365705385883. Its totient is φ = 68140680491520.

The previous prime is 199668486768097. The next prime is 199668486768137. The reversal of 199668486768100 is 1867684866991.

It is a happy number.

The square root of 199668486768100 is 14130410.

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 27646795352484 + 172021691415616 = 5258022^2 + 13115704^2 .

It is a super-2 number, since 2×199668486768100² (a number of 29 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 333336371601 + ... + 333336372199.

Almost surely, 2^{199668486768100} is an apocalyptic number.

199668486768100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199668486768100 is the 14130410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199668486768100

199668486768100 is an abundant number, since it is smaller than the sum of its proper divisors (306697218617783).

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

199668486768100 is an frugal number, since it uses more digits than its factorization.

199668486768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 79.

The spelling of 199668486768100 in words is "one hundred ninety-nine trillion, six hundred sixty-eight billion, four hundred eighty-six million, seven hundred sixty-eight thousand, one hundred".