198316579201 has 8 divisors (see below), whose sum is σ = 214144284200. Its totient is φ = 182570671872.

The previous prime is 198316579189. The next prime is 198316579213. The reversal of 198316579201 is 102975613891.

It is an interprime number because it is at equal distance from previous prime (198316579189) and next prime (198316579213).

It can be written as a sum of positive squares in 4 ways, for example, as 25760250000 + 172556329201 = 160500^2 + 415399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-198316579201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198316579001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20444376 + ... + 20454073.

It is an arithmetic number, because the mean of its divisors is an integer number (26768035525).

Almost surely, 2^198316579201 is an apocalyptic number.

It is an amenable number.

198316579201 is a deficient number, since it is larger than the sum of its proper divisors (15827704999).

198316579201 is a wasteful number, since it uses less digits than its factorization.

198316579201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40898835.

The product of its (nonzero) digits is 816480, while the sum is 52.

It can be divided in two parts, 1983 and 16579201, that added together give a square (16581184 = 4072²).

The spelling of 198316579201 in words is "one hundred ninety-eight billion, three hundred sixteen million, five hundred seventy-nine thousand, two hundred one".