199991412316224 has 63 divisors (see below), whose sum is σ = 573240246685743. Its totient is φ = 66663690970752.

The previous prime is 199991412316207. The next prime is 199991412316231. The reversal of 199991412316224 is 422613214199991.

The square root of 199991412316224 is 14141832.

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

199991412316224 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 91 + 4 + 1 + 2 + 316 + 224 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 339109347 + ... + 339698589.

Almost surely, 2^{199991412316224} is an apocalyptic number.

199991412316224 is the 14141832-nd square number.

It is an amenable number.

199991412316224 is an abundant number, since it is smaller than the sum of its proper divisors (373248834369519).

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

199991412316224 is an frugal number, since it uses more digits than its factorization.

199991412316224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178504 (or 589248 counting only the distinct ones).

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

The spelling of 199991412316224 in words is "one hundred ninety-nine trillion, nine hundred ninety-one billion, four hundred twelve million, three hundred sixteen thousand, two hundred twenty-four".