11386428912 has 180 divisors, whose sum is σ = 33983684280. Its totient is φ = 3558230016.

The previous prime is 11386428899. The next prime is 11386428919. The reversal of 11386428912 is 21982468311.

11386428912 is a `hidden beast` number, since 1 + 138 + 6 + 428 + 91 + 2 = 666.

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 (11386428919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17436778 + ... + 17437430.

It is an arithmetic number, because the mean of its divisors is an integer number (188798246).

Almost surely, 2^11386428912 is an apocalyptic number.

11386428912 is a gapful number since it is divisible by the number (12) 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 11386428912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16991842140).

11386428912 is an abundant number, since it is smaller than the sum of its proper divisors (22597255368).

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

11386428912 is a wasteful number, since it uses less digits than its factorization.

11386428912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1094 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11386428912 in words is "eleven billion, three hundred eighty-six million, four hundred twenty-eight thousand, nine hundred twelve".