11321244014144 has 56 divisors (see below), whose sum is σ = 23027601994488. Its totient is φ = 5519182376960.

The previous prime is 11321244014137. The next prime is 11321244014159. The reversal of 11321244014144 is 44141044212311.

11321244014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 152012652544 + 11169231361600 = 389888^2 + 3342040^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11321244014144.

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, 2977682 + ... + 5613294.

It is an arithmetic number, because the mean of its divisors is an integer number (411207178473).

Almost surely, 2^{11321244014144} 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 11321244014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513800997244).

11321244014144 is an abundant number, since it is smaller than the sum of its proper divisors (11706357980344).

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

11321244014144 is a wasteful number, since it uses less digits than its factorization.

11321244014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637303 (or 2637293 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 11321244014144 its reverse (44141044212311), we get a palindrome (55462288226455).

The spelling of 11321244014144 in words is "eleven trillion, three hundred twenty-one billion, two hundred forty-four million, fourteen thousand, one hundred forty-four".