198729197345 has 40 divisors (see below), whose sum is σ = 294569585064. Its totient is φ = 128255350272.

The previous prime is 198729197333. The next prime is 198729197369. The reversal of 198729197345 is 543791927891.

198729197345 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 4 ways, for example, as 47247108496 + 151482088849 = 217364^2 + 389207^2 .

It is not a de Polignac number, because 198729197345 - 2¹⁰ = 198729196321 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 282794 + ... + 690963.

Almost surely, 2^198729197345 is an apocalyptic number.

It is an amenable number.

198729197345 is a deficient number, since it is larger than the sum of its proper divisors (95840387719).

198729197345 is an frugal number, since it uses more digits than its factorization.

198729197345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973807 (or 973786 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 65.

The spelling of 198729197345 in words is "one hundred ninety-eight billion, seven hundred twenty-nine million, one hundred ninety-seven thousand, three hundred forty-five".