199338056776369 has 15 divisors (see below), whose sum is σ = 232548036158507. Its totient is φ = 170860598536656.

The previous prime is 199338056776349. The next prime is 199338056776381. The reversal of 199338056776369 is 963677650833991.

It is a happy number.

The square root of 199338056776369 is 14118713.

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

It can be written as a sum of positive squares in only one way, i.e., 197017577327025 + 2320479449344 = 14036295^2 + 1523312^2 .

It is not a de Polignac number, because 199338056776369 - 2¹⁹ = 199338056252081 is a prime.

It is a super-2 number, since 2×199338056776369² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 199338056776292 and 199338056776301.

It is not an unprimeable number, because it can be changed into a prime (199338056776349) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 691672869 + ... + 691961005.

Almost surely, 2^{199338056776369} is an apocalyptic number.

199338056776369 is the 14118713-rd square number.

199338056776369 is the 7059357-th centered octagonal number.

It is an amenable number.

199338056776369 is a deficient number, since it is larger than the sum of its proper divisors (33209979382138).

199338056776369 is an frugal number, since it uses more digits than its factorization.

199338056776369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576302 (or 288144 counting only the distinct ones).

The product of its (nonzero) digits is 8332994880, while the sum is 82.

The spelling of 199338056776369 in words is "one hundred ninety-nine trillion, three hundred thirty-eight billion, fifty-six million, seven hundred seventy-six thousand, three hundred sixty-nine".