11114656 has 72 divisors (see below), whose sum is σ = 26339040. Its totient is φ = 4521216.

The previous prime is 11114641. The next prime is 11114669. The reversal of 11114656 is 65641111.

It is a self number, because there is not a number n which added to its sum of digits gives 11114656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188355 + ... + 188413.

It is an arithmetic number, because the mean of its divisors is an integer number (365820).

Almost surely, 2^11114656 is an apocalyptic number.

11114656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169520).

11114656 is an abundant number, since it is smaller than the sum of its proper divisors (15224384).

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

11114656 is an equidigital number, since it uses as much as digits as its factorization.

11114656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 11114656 is about 3333.8650242624. The cubic root of 11114656 is about 223.1680448251.

Adding to 11114656 its reverse (65641111), we get a palindrome (76755767).

The spelling of 11114656 in words is "eleven million, one hundred fourteen thousand, six hundred fifty-six".