11116116 has 60 divisors (see below), whose sum is σ = 31711680. Its totient is φ = 3367440.

The previous prime is 11116109. The next prime is 11116139. The reversal of 11116116 is 61161111.

11116116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2005 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (528528).

Almost surely, 2^11116116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11116116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

11116116 is an abundant number, since it is smaller than the sum of its proper divisors (20595564).

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

11116116 is a wasteful number, since it uses less digits than its factorization.

11116116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3135 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

The square root of 11116116 is about 3334.0839821456. The cubic root of 11116116 is about 223.1778160401.

Adding to 11116116 its reverse (61161111), we get a palindrome (72277227).

It can be divided in two parts, 1111611 and 6, that multiplied together give a palindrome (6669666).

The spelling of 11116116 in words is "eleven million, one hundred sixteen thousand, one hundred sixteen".