11114688 has 112 divisors (see below), whose sum is σ = 32629856. Its totient is φ = 3317760.

The previous prime is 11114687. The next prime is 11114693. The reversal of 11114688 is 88641111.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11114687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152220 + ... + 152292.

It is an arithmetic number, because the mean of its divisors is an integer number (291338).

Almost surely, 2^11114688 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 11114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314928).

11114688 is an abundant number, since it is smaller than the sum of its proper divisors (21515168).

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

11114688 is a wasteful number, since it uses less digits than its factorization.

11114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its digits is 1536, while the sum is 30.

The square root of 11114688 is about 3333.8698234934. The cubic root of 11114688 is about 223.1682589979.

Adding to 11114688 its reverse (88641111), we get a palindrome (99755799).

The spelling of 11114688 in words is "eleven million, one hundred fourteen thousand, six hundred eighty-eight".