11616320224 has 48 divisors (see below), whose sum is σ = 23417372160. Its totient is φ = 5670645120.

The previous prime is 11616320207. The next prime is 11616320227. The reversal of 11616320224 is 42202361611.

11616320224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11616320224² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11616320192 and 11616320201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11616320227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209197 + ... + 258835.

It is an arithmetic number, because the mean of its divisors is an integer number (487861920).

Almost surely, 2^11616320224 is an apocalyptic number.

It is an amenable number.

11616320224 is an abundant number, since it is smaller than the sum of its proper divisors (11801051936).

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

11616320224 is a wasteful number, since it uses less digits than its factorization.

11616320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49823 (or 49815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11616320224 its reverse (42202361611), we get a palindrome (53818681835).

The spelling of 11616320224 in words is "eleven billion, six hundred sixteen million, three hundred twenty thousand, two hundred twenty-four".