199961903241 has 9 divisors (see below), whose sum is σ = 288835797991. Its totient is φ = 133307041152.

The previous prime is 199961903171. The next prime is 199961903257. The reversal of 199961903241 is 142309169991.

It is a happy number.

The square root of 199961903241 is 447171.

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

199961903241 is a `hidden beast` number, since 19 + 9 + 9 + 619 + 0 + 3 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2911142025 + 197050761216 = 53955^2 + 443904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 199961903241 - 2²¹ = 199959806089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199961903291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1266985 + ... + 1416041.

Almost surely, 2^199961903241 is an apocalyptic number.

199961903241 is the 447171-st square number.

199961903241 is the 223586-th centered octagonal number.

It is an amenable number.

199961903241 is a deficient number, since it is larger than the sum of its proper divisors (88873894750).

199961903241 is an frugal number, since it uses more digits than its factorization.

199961903241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298120 (or 149060 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 199961903241 in words is "one hundred ninety-nine billion, nine hundred sixty-one million, nine hundred three thousand, two hundred forty-one".