199966374976 has 21 divisors (see below), whose sum is σ = 396815374389. Its totient is φ = 99981398784.

The previous prime is 199966374961. The next prime is 199966374983. The reversal of 199966374976 is 679473669991.

It is a happy number.

The square root of 199966374976 is 447176.

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

199966374976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111743118400 + 88223256576 = 334280^2 + 297024^2 .

It is a super-2 number, since 2×199966374976² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 3549460 + ... + 3605356.

It is an arithmetic number, because the mean of its divisors is an integer number (18895970209).

Almost surely, 2^199966374976 is an apocalyptic number.

199966374976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199966374976 is the 447176-th square number.

It is an amenable number.

199966374976 is a deficient number, since it is larger than the sum of its proper divisors (196848999413).

199966374976 is an frugal number, since it uses more digits than its factorization.

199966374976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111806 (or 55899 counting only the distinct ones).

The product of its digits is 833299488, while the sum is 76.

The spelling of 199966374976 in words is "one hundred ninety-nine billion, nine hundred sixty-six million, three hundred seventy-four thousand, nine hundred seventy-six".