198394239392001 has 27 divisors (see below), whose sum is σ = 287044063717827. Its totient is φ = 132044138685360.

The previous prime is 198394239391987. The next prime is 198394239392023. The reversal of 198394239392001 is 100293932493891.

The square root of 198394239392001 is 14085249.

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

198394239392001 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 9 + 4 + 239 + 392 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157527626102001 + 40866613290000 = 12551001^2 + 6392700^2 .

It is not a de Polignac number, because 198394239392001 - 2¹¹ = 198394239389953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 198394239392001.

It is not an unprimeable number, because it can be changed into a prime (198394239392801) 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, 27931045216 + ... + 27931052318.

Almost surely, 2^{198394239392001} is an apocalyptic number.

198394239392001 is the 14085249-th square number.

198394239392001 is the 7042625-th centered octagonal number.

It is an amenable number.

198394239392001 is a deficient number, since it is larger than the sum of its proper divisors (88649824325826).

198394239392001 is an frugal number, since it uses more digits than its factorization.

198394239392001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15534 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 198394239392001 in words is "one hundred ninety-eight trillion, three hundred ninety-four billion, two hundred thirty-nine million, three hundred ninety-two thousand, one".