198471141001 has 27 divisors (see below), whose sum is σ = 238678662663. Its totient is φ = 164550249360.

The previous prime is 198471140957. The next prime is 198471141007. The reversal of 198471141001 is 100141174891.

The square root of 198471141001 is 445501.

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

198471141001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 102448005625 + 96023135376 = 320075^2 + 309876^2 .

It is not a de Polignac number, because 198471141001 - 2⁹ = 198471140489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198471141007) 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 26 ways as a sum of consecutive naturals, for example, 96672691 + ... + 96674743.

It is an arithmetic number, because the mean of its divisors is an integer number (8839950469).

Almost surely, 2^198471141001 is an apocalyptic number.

198471141001 is the 445501-st square number.

198471141001 is the 222751-st centered octagonal number.

It is an amenable number.

198471141001 is a deficient number, since it is larger than the sum of its proper divisors (40207521662).

198471141001 is an frugal number, since it uses more digits than its factorization.

198471141001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 37.

The spelling of 198471141001 in words is "one hundred ninety-eight billion, four hundred seventy-one million, one hundred forty-one thousand, one".