19066362561 has 9 divisors (see below), whose sum is σ = 27540899841. Its totient is φ = 12710632212.

The previous prime is 19066362527. The next prime is 19066362569. The reversal of 19066362561 is 16526366091.

The square root of 19066362561 is 138081.

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

19066362561 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 636 + 2 + 5 + 6 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 19066362561 - 2⁷ = 19066362433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19066362569) 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, 391230 + ... + 437256.

Almost surely, 2^19066362561 is an apocalyptic number.

19066362561 is the 138081-st square number.

19066362561 is the 69041-st centered octagonal number.

It is an amenable number.

19066362561 is a deficient number, since it is larger than the sum of its proper divisors (8474537280).

19066362561 is an frugal number, since it uses more digits than its factorization.

19066362561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92060 (or 46030 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 19066362561 in words is "nineteen billion, sixty-six million, three hundred sixty-two thousand, five hundred sixty-one".