198038830681129 has 9 divisors (see below), whose sum is σ = 205103658721143. Its totient is φ = 191209511451672.

The previous prime is 198038830681121. The next prime is 198038830681163. The reversal of 198038830681129 is 921186038830891.

The square root of 198038830681129 is 14072627.

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

It can be written as a sum of positive squares in only one way, i.e., 103846759013529 + 94192071667600 = 10190523^2 + 9705260^2 .

It is not a de Polignac number, because 198038830681129 - 2³ = 198038830681121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198038830681121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 407863552 + ... + 408348814.

Almost surely, 2^{198038830681129} is an apocalyptic number.

198038830681129 is the 14072627-th square number.

198038830681129 is the 7036314-th centered octagonal number.

It is an amenable number.

198038830681129 is a deficient number, since it is larger than the sum of its proper divisors (7064828040014).

198038830681129 is an frugal number, since it uses more digits than its factorization.

198038830681129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970584 (or 485292 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 67.

The spelling of 198038830681129 in words is "one hundred ninety-eight trillion, thirty-eight billion, eight hundred thirty million, six hundred eighty-one thousand, one hundred twenty-nine".