198189323788729 has 81 divisors (see below), whose sum is σ = 253536778757997. Its totient is φ = 154401801922368.

The previous prime is 198189323788723. The next prime is 198189323788763. The reversal of 198189323788729 is 927887323981891.

The square root of 198189323788729 is 14077973.

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

It can be written as a sum of positive squares in 4 ways, for example, as 118828431225 + 198070495357504 = 344715^2 + 14073752^2 .

It is not a de Polignac number, because 198189323788729 - 2¹¹ = 198189323786681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198189323788723) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85833400227 + ... + 85833402535.

Almost surely, 2^{198189323788729} is an apocalyptic number.

198189323788729 is the 14077973-rd square number.

198189323788729 is the 7038987-th centered octagonal number.

It is an amenable number.

198189323788729 is a deficient number, since it is larger than the sum of its proper divisors (55347454969268).

198189323788729 is an frugal number, since it uses more digits than its factorization.

198189323788729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 2396 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 85.

The spelling of 198189323788729 in words is "one hundred ninety-eight trillion, one hundred eighty-nine billion, three hundred twenty-three million, seven hundred eighty-eight thousand, seven hundred twenty-nine".