11131344216 has 128 divisors (see below), whose sum is σ = 31648320000. Its totient is φ = 3624082560.

The previous prime is 11131344193. The next prime is 11131344277. The reversal of 11131344216 is 61244313111.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11131344216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668295 + ... + 1674953.

It is an arithmetic number, because the mean of its divisors is an integer number (247252500).

Almost surely, 2^11131344216 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 11131344216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824160000).

11131344216 is an abundant number, since it is smaller than the sum of its proper divisors (20516975784).

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

11131344216 is a wasteful number, since it uses less digits than its factorization.

11131344216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6844 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 11131344216 its reverse (61244313111), we get a palindrome (72375657327).

The spelling of 11131344216 in words is "eleven billion, one hundred thirty-one million, three hundred forty-four thousand, two hundred sixteen".