11138688568773 has 12 divisors (see below), whose sum is σ = 16089613664748. Its totient is φ = 7425609220800.

The previous prime is 11138688568771. The next prime is 11138688568811. The reversal of 11138688568773 is 37786588683111.

11138688568773 is a `hidden beast` number, since 111 + 386 + 8 + 8 + 5 + 68 + 7 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8587841972004 + 2550846596769 = 2930502^2 + 1597137^2 .

It is not a de Polignac number, because 11138688568773 - 2¹ = 11138688568771 is a prime.

It is a super-2 number, since 2×11138688568773² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138688568771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14877528 + ... + 15608273.

It is an arithmetic number, because the mean of its divisors is an integer number (1340801138729).

Almost surely, 2^{11138688568773} is an apocalyptic number.

It is an amenable number.

11138688568773 is a deficient number, since it is larger than the sum of its proper divisors (4950925095975).

11138688568773 is a wasteful number, since it uses less digits than its factorization.

11138688568773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30526404 (or 30526401 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 11138688568773 in words is "eleven trillion, one hundred thirty-eight billion, six hundred eighty-eight million, five hundred sixty-eight thousand, seven hundred seventy-three".