11166565617 has 12 divisors (see below), whose sum is σ = 17078277060. Its totient is φ = 7006472448.

The previous prime is 11166565591. The next prime is 11166565621. The reversal of 11166565617 is 71656566111.

11166565617 is a `hidden beast` number, since 1 + 11 + 66 + 565 + 6 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10020810816 + 1145754801 = 100104^2 + 33849^2 .

It is not a de Polignac number, because 11166565617 - 2¹⁵ = 11166532849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11166565637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36491892 + ... + 36492197.

It is an arithmetic number, because the mean of its divisors is an integer number (1423189755).

Almost surely, 2^11166565617 is an apocalyptic number.

11166565617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11166565617 is a deficient number, since it is larger than the sum of its proper divisors (5911711443).

11166565617 is a wasteful number, since it uses less digits than its factorization.

11166565617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72984112 (or 72984109 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 11166565617 in words is "eleven billion, one hundred sixty-six million, five hundred sixty-five thousand, six hundred seventeen".