11686163328 has 256 divisors, whose sum is σ = 40068864000. Its totient is φ = 3283752960.

The previous prime is 11686163327. The next prime is 11686163329. The reversal of 11686163328 is 82336168611.

11686163328 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 6 + 1 + 633 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11686163327) and next prime (11686163329).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11686163327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1471753 + ... + 1479671.

It is an arithmetic number, because the mean of its divisors is an integer number (156519000).

Almost surely, 2^11686163328 is an apocalyptic number.

11686163328 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 11686163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432000).

11686163328 is an abundant number, since it is smaller than the sum of its proper divisors (28382700672).

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

11686163328 is an equidigital number, since it uses as much as digits as its factorization.

11686163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8010 (or 7992 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 11686163328 in words is "eleven billion, six hundred eighty-six million, one hundred sixty-three thousand, three hundred twenty-eight".