11111345586 has 144 divisors (see below), whose sum is σ = 28478792160. Its totient is φ = 3219860160.

The previous prime is 11111345579. The next prime is 11111345587. The reversal of 11111345586 is 68554311111.

11111345586 is a `hidden beast` number, since 1 + 11 + 113 + 455 + 86 = 666.

11111345586 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11111345586.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111345587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2826070 + ... + 2829998.

It is an arithmetic number, because the mean of its divisors is an integer number (197769390).

Almost surely, 2^11111345586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111345586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239396080).

11111345586 is an abundant number, since it is smaller than the sum of its proper divisors (17367446574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111345586 is a wasteful number, since it uses less digits than its factorization.

11111345586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3968 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

Adding to 11111345586 its reverse (68554311111), we get a palindrome (79665656697).

The spelling of 11111345586 in words is "eleven billion, one hundred eleven million, three hundred forty-five thousand, five hundred eighty-six".