11125664416144 has 10 divisors (see below), whose sum is σ = 21555974806310. Its totient is φ = 5562832208064.

The previous prime is 11125664416109. The next prime is 11125664416157. The reversal of 11125664416144 is 44161446652111.

It can be written as a sum of positive squares in only one way, i.e., 9941963935744 + 1183700480400 = 3153088^2 + 1087980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11125664416094 and 11125664416103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 347677012989 + ... + 347677013020.

It is an arithmetic number, because the mean of its divisors is an integer number (2155597480631).

Almost surely, 2^{11125664416144} is an apocalyptic number.

It is an amenable number.

11125664416144 is a deficient number, since it is larger than the sum of its proper divisors (10430310390166).

11125664416144 is an equidigital number, since it uses as much as digits as its factorization.

11125664416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695354026017 (or 695354026011 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 11125664416144 in words is "eleven trillion, one hundred twenty-five billion, six hundred sixty-four million, four hundred sixteen thousand, one hundred forty-four".