198360672129 has 27 divisors (see below), whose sum is σ = 296123565699. Its totient is φ = 127947904560.

The previous prime is 198360672121. The next prime is 198360672131. The reversal of 198360672129 is 921276063891.

The square root of 198360672129 is 445377.

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

198360672129 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 606 + 7 + 2 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13752956529 + 184607715600 = 117273^2 + 429660^2 .

It is not a de Polignac number, because 198360672129 - 2³ = 198360672121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198360672121) 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, 41417667 + ... + 41422455.

Almost surely, 2^198360672129 is an apocalyptic number.

198360672129 is the 445377-th square number.

198360672129 is the 222689-th centered octagonal number.

It is an amenable number.

198360672129 is a deficient number, since it is larger than the sum of its proper divisors (97762893570).

198360672129 is an frugal number, since it uses more digits than its factorization.

198360672129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

It can be divided in two parts, 198360 and 672129, that added together give a square (870489 = 933²).

The spelling of 198360672129 in words is "one hundred ninety-eight billion, three hundred sixty million, six hundred seventy-two thousand, one hundred twenty-nine".