189946917241 has 27 divisors (see below), whose sum is σ = 208748856207. Its totient is φ = 172797481920.

The previous prime is 189946917233. The next prime is 189946917253. The reversal of 189946917241 is 142719649981.

The square root of 189946917241 is 435829.

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., 147882548025 + 42064369216 = 384555^2 + 205096^2 .

It is not a de Polignac number, because 189946917241 - 2³ = 189946917233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 189946917241.

It is not an unprimeable number, because it can be changed into a prime (189946911241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229681470 + ... + 229682296.

Almost surely, 2^189946917241 is an apocalyptic number.

189946917241 is the 435829-th square number.

189946917241 is the 217915-th centered octagonal number.

It is an amenable number.

189946917241 is a deficient number, since it is larger than the sum of its proper divisors (18801938966).

189946917241 is an frugal number, since it uses more digits than its factorization.

189946917241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 875 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 61.

The spelling of 189946917241 in words is "one hundred eighty-nine billion, nine hundred forty-six million, nine hundred seventeen thousand, two hundred forty-one".