198497585794801 has 2 divisors, whose sum is σ = 198497585794802. Its totient is φ = 198497585794800.

The previous prime is 198497585794777. The next prime is 198497585794819. The reversal of 198497585794801 is 108497585794891.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158166843073600 + 40330742721201 = 12576440^2 + 6350649^2 .

It is a cyclic number.

It is not a de Polignac number, because 198497585794801 - 2¹³ = 198497585786609 is a prime.

It is not a weakly prime, because it can be changed into another prime (198497585794861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99248792897400 + 99248792897401.

It is an arithmetic number, because the mean of its divisors is an integer number (99248792897401).

Almost surely, 2^{198497585794801} is an apocalyptic number.

It is an amenable number.

198497585794801 is a deficient number, since it is larger than the sum of its proper divisors (1).

198497585794801 is an equidigital number, since it uses as much as digits as its factorization.

198497585794801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7315660800, while the sum is 85.

The spelling of 198497585794801 in words is "one hundred ninety-eight trillion, four hundred ninety-seven billion, five hundred eighty-five million, seven hundred ninety-four thousand, eight hundred one".