198783114201 has 105 divisors (see below), whose sum is σ = 348725483151. Its totient is φ = 113253287616.

The previous prime is 198783114191. The next prime is 198783114247. The reversal of 198783114201 is 102411387891.

It is a happy number.

The square root of 198783114201 is 445851.

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

198783114201 is a `hidden beast` number, since 198 + 7 + 8 + 31 + 1 + 420 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53603825625 + 145179288576 = 231525^2 + 381024^2 .

It is not a de Polignac number, because 198783114201 - 2⁵ = 198783114169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198783114601) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 589860705 + ... + 589861041.

Almost surely, 2^198783114201 is an apocalyptic number.

198783114201 is the 445851-st square number.

198783114201 is the 222926-th centered octagonal number.

It is an amenable number.

198783114201 is a deficient number, since it is larger than the sum of its proper divisors (149942368950).

198783114201 is an frugal number, since it uses more digits than its factorization.

198783114201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 198783114201 in words is "one hundred ninety-eight billion, seven hundred eighty-three million, one hundred fourteen thousand, two hundred one".