13836114432 has 480 divisors, whose sum is σ = 47922361344. Its totient is φ = 3760128000.

The previous prime is 13836114427. The next prime is 13836114433. The reversal of 13836114432 is 23441163831.

13836114432 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 611 + 4 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (13836114433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100993468 + ... + 100993604.

Almost surely, 2^13836114432 is an apocalyptic number.

13836114432 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 13836114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961180672).

13836114432 is an abundant number, since it is smaller than the sum of its proper divisors (34086246912).

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

13836114432 is a wasteful number, since it uses less digits than its factorization.

13836114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13836114432 in words is "thirteen billion, eight hundred thirty-six million, one hundred fourteen thousand, four hundred thirty-two".