11638605611391 has 16 divisors (see below), whose sum is σ = 17512635404160. Its totient is φ = 6810469322720.

The previous prime is 11638605611309. The next prime is 11638605611417. The reversal of 11638605611391 is 19311650683611.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11638605611391 - 2³⁴ = 11621425742207 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638645611391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6080775225 + ... + 6080777138.

It is an arithmetic number, because the mean of its divisors is an integer number (1094539712760).

Almost surely, 2^{11638605611391} is an apocalyptic number.

11638605611391 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11638605611391 is a deficient number, since it is larger than the sum of its proper divisors (5874029792769).

11638605611391 is a wasteful number, since it uses less digits than its factorization.

11638605611391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12161552406.

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 11638605611391 in words is "eleven trillion, six hundred thirty-eight billion, six hundred five million, six hundred eleven thousand, three hundred ninety-one".