199262444121225 has 243 divisors, whose sum is σ = 382425533079421. Its totient is φ = 99160064102400.

The previous prime is 199262444121203. The next prime is 199262444121277. The reversal of 199262444121225 is 522121444262991.

The square root of 199262444121225 is 14116035.

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

199262444121225 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 62 + 44 + 412 + 122 + 5 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 62572861910601 + 136689582210624 = 7910301^2 + 11691432^2 .

It is not a de Polignac number, because 199262444121225 - 2⁹ = 199262444120713 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 709119018085 + ... + 709119018365.

Almost surely, 2^{199262444121225} is an apocalyptic number.

199262444121225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199262444121225 is the 14116035-th square number.

199262444121225 is the 7058018-th centered octagonal number.

It is an amenable number.

199262444121225 is a deficient number, since it is larger than the sum of its proper divisors (183163088958196).

199262444121225 is an equidigital number, since it uses as much as digits as its factorization.

199262444121225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 199262444121225 in words is "one hundred ninety-nine trillion, two hundred sixty-two billion, four hundred forty-four million, one hundred twenty-one thousand, two hundred twenty-five".