199008097922529 has 45 divisors (see below), whose sum is σ = 345821360810211. Its totient is φ = 113718405245760.

The previous prime is 199008097922479. The next prime is 199008097922551. The reversal of 199008097922529 is 925229790800991.

It is a happy number.

The square root of 199008097922529 is 14107023.

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

199008097922529 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 0 + 8 + 0 + 9 + 7 + 92 + 2 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157617403648929 + 41390694273600 = 12554577^2 + 6433560^2 .

It is not a de Polignac number, because 199008097922529 - 2¹⁷ = 199008097791457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (199008097922629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 888630489 + ... + 888854409.

Almost surely, 2^{199008097922529} is an apocalyptic number.

199008097922529 is the 14107023-rd square number.

199008097922529 is the 7053512-nd centered octagonal number.

It is an amenable number.

199008097922529 is a deficient number, since it is larger than the sum of its proper divisors (146813262887682).

199008097922529 is an frugal number, since it uses more digits than its factorization.

199008097922529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447868 (or 223931 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 199008097922529 in words is "one hundred ninety-nine trillion, eight billion, ninety-seven million, nine hundred twenty-two thousand, five hundred twenty-nine".