11617211817 has 12 divisors (see below), whose sum is σ = 17767500660. Its totient is φ = 7289230848.

The previous prime is 11617211797. The next prime is 11617211833. The reversal of 11617211817 is 71811271611.

It is a happy number.

11617211817 is a `hidden beast` number, since 1 + 1 + 617 + 21 + 1 + 8 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8983058841 + 2634152976 = 94779^2 + 51324^2 .

It is not a de Polignac number, because 11617211817 - 2⁸ = 11617211561 is a prime.

It is a super-2 number, since 2×11617211817² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11617211017) 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, 37964592 + ... + 37964897.

It is an arithmetic number, because the mean of its divisors is an integer number (1480625055).

Almost surely, 2^11617211817 is an apocalyptic number.

11617211817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11617211817 is a deficient number, since it is larger than the sum of its proper divisors (6150288843).

11617211817 is a wasteful number, since it uses less digits than its factorization.

11617211817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75929512 (or 75929509 counting only the distinct ones).

The product of its digits is 4704, while the sum is 36.

The spelling of 11617211817 in words is "eleven billion, six hundred seventeen million, two hundred eleven thousand, eight hundred seventeen".