198585205641 has 27 divisors (see below), whose sum is σ = 294093337447. Its totient is φ = 129125459040.

The previous prime is 198585205549. The next prime is 198585205649. The reversal of 198585205641 is 146502585891.

The square root of 198585205641 is 445629.

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

198585205641 is a `hidden beast` number, since 1 + 9 + 8 + 58 + 5 + 20 + 564 + 1 = 666.

198585205641 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., 9568948041 + 189016257600 = 97821^2 + 434760^2 .

It is not a de Polignac number, because 198585205641 - 2²⁷ = 198450987913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198585205649) 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 26 ways as a sum of consecutive naturals, for example, 54810556 + ... + 54814178.

Almost surely, 2^198585205641 is an apocalyptic number.

198585205641 is the 445629-th square number.

198585205641 is the 222815-th centered octagonal number.

It is an amenable number.

198585205641 is a deficient number, since it is larger than the sum of its proper divisors (95508131806).

198585205641 is an frugal number, since it uses more digits than its factorization.

198585205641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 198585205641 in words is "one hundred ninety-eight billion, five hundred eighty-five million, two hundred five thousand, six hundred forty-one".