11144106226125 has 48 divisors (see below), whose sum is σ = 20429602315200. Its totient is φ = 5842785602400.

The previous prime is 11144106226117. The next prime is 11144106226181. The reversal of 11144106226125 is 52162260144111.

11144106226125 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 1 + 0 + 622 + 6 + 1 + 25 = 666.

It is not a de Polignac number, because 11144106226125 - 2³ = 11144106226117 is a prime.

It is a super-2 number, since 2×11144106226125² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11144106226125.

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, 83881695 + ... + 84014444.

It is an arithmetic number, because the mean of its divisors is an integer number (425616714900).

Almost surely, 2^{11144106226125} is an apocalyptic number.

11144106226125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11144106226125 is a deficient number, since it is larger than the sum of its proper divisors (9285496089075).

11144106226125 is a wasteful number, since it uses less digits than its factorization.

11144106226125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167896219 (or 167896206 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11144106226125 in words is "eleven trillion, one hundred forty-four billion, one hundred six million, two hundred twenty-six thousand, one hundred twenty-five".