811686686118 has 256 divisors, whose sum is σ = 2168361861120. Its totient is φ = 196091596800.

The previous prime is 811686686051. The next prime is 811686686131.

It is a happy number.

811686686118 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254365903 + ... + 254369093.

It is an arithmetic number, because the mean of its divisors is an integer number (8470163520).

Almost surely, 2^811686686118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811686686118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084180930560).

811686686118 is an abundant number, since it is smaller than the sum of its proper divisors (1356675175002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

811686686118 is a wasteful number, since it uses less digits than its factorization.

811686686118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603.

The product of its digits is 5308416, while the sum is 60.

The spelling of 811686686118 in words is "eight hundred eleven billion, six hundred eighty-six million, six hundred eighty-six thousand, one hundred eighteen".