11229289344 has 384 divisors, whose sum is σ = 42116518080. Its totient is φ = 2786918400.

The previous prime is 11229289321. The next prime is 11229289373. The reversal of 11229289344 is 44398292211.

11229289344 is a `hidden beast` number, since 1 + 1 + 2 + 29 + 289 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 11229289344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778994 + ... + 1785294.

Almost surely, 2^11229289344 is an apocalyptic number.

11229289344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11229289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058259040).

11229289344 is an abundant number, since it is smaller than the sum of its proper divisors (30887228736).

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

11229289344 is a wasteful number, since it uses less digits than its factorization.

11229289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6343 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 11229289344 in words is "eleven billion, two hundred twenty-nine million, two hundred eighty-nine thousand, three hundred forty-four".