11131662626685 has 24 divisors (see below), whose sum is σ = 20133789796224. Its totient is φ = 5678761223520.

The previous prime is 11131662626683. The next prime is 11131662626717. The reversal of 11131662626685 is 58662626613111.

11131662626685 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 6 + 6 + 2 + 626 + 6 + 8 + 5 = 666.

It is not a de Polignac number, because 11131662626685 - 2¹ = 11131662626683 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131662626683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5377613761 + ... + 5377615830.

It is an arithmetic number, because the mean of its divisors is an integer number (838907908176).

Almost surely, 2^{11131662626685} is an apocalyptic number.

11131662626685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11131662626685 is a deficient number, since it is larger than the sum of its proper divisors (9002127169539).

11131662626685 is a wasteful number, since it uses less digits than its factorization.

11131662626685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755229625 (or 10755229622 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 11131662626685 in words is "eleven trillion, one hundred thirty-one billion, six hundred sixty-two million, six hundred twenty-six thousand, six hundred eighty-five".