17564465961 has 27 divisors (see below), whose sum is σ = 29517759453. Its totient is φ = 10035247320.

The previous prime is 17564465953. The next prime is 17564466043. The reversal of 17564465961 is 16956446571.

The square root of 17564465961 is 132531.

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

17564465961 is a `hidden beast` number, since 1 + 7 + 5 + 6 + 4 + 46 + 596 + 1 = 666.

It is not a de Polignac number, because 17564465961 - 2³ = 17564465953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17564465898 and 17564465907.

It is not an unprimeable number, because it can be changed into a prime (17564465911) 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, 2779996 + ... + 2786306.

Almost surely, 2^17564465961 is an apocalyptic number.

17564465961 is the 132531-st square number.

17564465961 is the 66266-th centered octagonal number.

It is an amenable number.

17564465961 is a deficient number, since it is larger than the sum of its proper divisors (11953293492).

17564465961 is an frugal number, since it uses more digits than its factorization.

17564465961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642 (or 6321 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 17564465961 in words is "seventeen billion, five hundred sixty-four million, four hundred sixty-five thousand, nine hundred sixty-one".