11144140342304 has 12 divisors (see below), whose sum is σ = 21940026298974. Its totient is φ = 5572070171136.

The previous prime is 11144140342289. The next prime is 11144140342331. The reversal of 11144140342304 is 40324304144111.

It can be written as a sum of positive squares in only one way, i.e., 7353533827600 + 3790606514704 = 2711740^2 + 1946948^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 348254385697 = 11144140342304 / (1 + 1 + 1 + 4 + 4 + 1 + 4 + 0 + 3 + 4 + 2 + 3 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174127192817 + ... + 174127192880.

Almost surely, 2^{11144140342304} is an apocalyptic number.

It is an amenable number.

11144140342304 is a deficient number, since it is larger than the sum of its proper divisors (10795885956670).

11144140342304 is an equidigital number, since it uses as much as digits as its factorization.

11144140342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348254385707 (or 348254385699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 11144140342304 its reverse (40324304144111), we get a palindrome (51468444486415).

The spelling of 11144140342304 in words is "eleven trillion, one hundred forty-four billion, one hundred forty million, three hundred forty-two thousand, three hundred four".