11806681068 has 192 divisors, whose sum is σ = 37762206720. Its totient is φ = 3106543104.

The previous prime is 11806680971. The next prime is 11806681079. The reversal of 11806681068 is 86018660811.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5138896 + ... + 5141192.

It is an arithmetic number, because the mean of its divisors is an integer number (196678160).

Almost surely, 2^11806681068 is an apocalyptic number.

11806681068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11806681068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881103360).

11806681068 is an abundant number, since it is smaller than the sum of its proper divisors (25955525652).

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

11806681068 is a wasteful number, since it uses less digits than its factorization.

11806681068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11806681068 in words is "eleven billion, eight hundred six million, six hundred eighty-one thousand, sixty-eight".