11164656224 has 48 divisors (see below), whose sum is σ = 22509926208. Its totient is φ = 5448062592.

The previous prime is 11164656187. The next prime is 11164656227. The reversal of 11164656224 is 42265646111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164656227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2236259 + ... + 2241245.

It is an arithmetic number, because the mean of its divisors is an integer number (468956796).

Almost surely, 2^11164656224 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 11164656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11254963104).

11164656224 is an abundant number, since it is smaller than the sum of its proper divisors (11345269984).

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

11164656224 is a wasteful number, since it uses less digits than its factorization.

11164656224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6659 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The spelling of 11164656224 in words is "eleven billion, one hundred sixty-four million, six hundred fifty-six thousand, two hundred twenty-four".