11224143104 has 72 divisors (see below), whose sum is σ = 23826315240. Its totient is φ = 5258805248.

The previous prime is 11224143097. The next prime is 11224143113. The reversal of 11224143104 is 40134142211.

It can be written as a sum of positive squares in 4 ways, for example, as 231040000 + 10993103104 = 15200^2 + 104848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11224143104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008482 + ... + 1019550.

It is an arithmetic number, because the mean of its divisors is an integer number (330921045).

Almost surely, 2^11224143104 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 11224143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913157620).

11224143104 is an abundant number, since it is smaller than the sum of its proper divisors (12602172136).

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

11224143104 is a wasteful number, since it uses less digits than its factorization.

11224143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11224143104 its reverse (40134142211), we get a palindrome (51358285315).

The spelling of 11224143104 in words is "eleven billion, two hundred twenty-four million, one hundred forty-three thousand, one hundred four".