11144104004331 has 16 divisors (see below), whose sum is σ = 16516459823520. Its totient is φ = 7426398418560.

The previous prime is 11144104004287. The next prime is 11144104004333. The reversal of 11144104004331 is 13340040144111.

11144104004331 is a `hidden beast` number, since 111 + 441 + 0 + 40 + 0 + 43 + 31 = 666.

It is not a de Polignac number, because 11144104004331 - 2⁹ = 11144104003819 is a prime.

It is a super-2 number, since 2×11144104004331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11144104004295 and 11144104004304.

It is not an unprimeable number, because it can be changed into a prime (11144104004333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83383410 + ... + 83516951.

It is an arithmetic number, because the mean of its divisors is an integer number (1032278738970).

Almost surely, 2^{11144104004331} is an apocalyptic number.

11144104004331 is a deficient number, since it is larger than the sum of its proper divisors (5372355819189).

11144104004331 is a wasteful number, since it uses less digits than its factorization.

11144104004331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166902843 (or 166902837 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11144104004331 its reverse (13340040144111), we get a palindrome (24484144148442).

The spelling of 11144104004331 in words is "eleven trillion, one hundred forty-four billion, one hundred four million, four thousand, three hundred thirty-one".