11181648 has 80 divisors (see below), whose sum is σ = 31176576. Its totient is φ = 3440640.

The previous prime is 11181641. The next prime is 11181649. The reversal of 11181648 is 84618111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11181641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57840 + ... + 58032.

Almost surely, 2^11181648 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 11181648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588288).

11181648 is an abundant number, since it is smaller than the sum of its proper divisors (19994928).

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

11181648 is a wasteful number, since it uses less digits than its factorization.

11181648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

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

The square root of 11181648 is about 3343.8971276043. The cubic root of 11181648 is about 223.6155181599.

Adding to 11181648 its reverse (84618111), we get a palindrome (95799759).

The spelling of 11181648 in words is "eleven million, one hundred eighty-one thousand, six hundred forty-eight".