198348267802689 has 81 divisors (see below), whose sum is σ = 304075322560737. Its totient is φ = 124572409088400.

The previous prime is 198348267802669. The next prime is 198348267802697. The reversal of 198348267802689 is 986208762843891.

The square root of 198348267802689 is 14083617.

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

198348267802689 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 482 + 6 + 78 + 0 + 2 + 68 + 9 = 666.

It is not a de Polignac number, because 198348267802689 - 2²⁷ = 198348133584961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198348267802639) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 169383661074 + ... + 169383662244.

Almost surely, 2^{198348267802689} is an apocalyptic number.

198348267802689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

198348267802689 is the 14083617-th square number.

198348267802689 is the 7041809-th centered octagonal number.

It is an amenable number.

198348267802689 is a deficient number, since it is larger than the sum of its proper divisors (105727054758048).

198348267802689 is an frugal number, since it uses more digits than its factorization.

198348267802689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 198348267802689 in words is "one hundred ninety-eight trillion, three hundred forty-eight billion, two hundred sixty-seven million, eight hundred two thousand, six hundred eighty-nine".