198008090361 has 27 divisors (see below), whose sum is σ = 299034010639. Its totient is φ = 126246449472.

The previous prime is 198008090347. The next prime is 198008090377. The reversal of 198008090361 is 163090800891.

The square root of 198008090361 is 444981.

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., 192035891961 + 5972198400 = 438219^2 + 77280^2 .

It is not a de Polignac number, because 198008090361 - 2²⁷ = 197873872633 is a prime.

It is a super-2 number, since 2×198008090361² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198008090381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30700465 + ... + 30706913.

Almost surely, 2^198008090361 is an apocalyptic number.

198008090361 is the 444981-st square number.

198008090361 is the 222491-st centered octagonal number.

It is an amenable number.

198008090361 is a deficient number, since it is larger than the sum of its proper divisors (101025920278).

198008090361 is an frugal number, since it uses more digits than its factorization.

198008090361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 198008090361 in words is "one hundred ninety-eight billion, eight million, ninety thousand, three hundred sixty-one".