13866443136 has 896 divisors, whose sum is σ = 53941386240. Its totient is φ = 3448811520.

The previous prime is 13866443051. The next prime is 13866443153. The reversal of 13866443136 is 63134466831.

13866443136 is a `hidden beast` number, since 13 + 8 + 66 + 443 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 13866443091 and 13866443100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195301981 + ... + 195302051.

It is an arithmetic number, because the mean of its divisors is an integer number (60202440).

Almost surely, 2^13866443136 is an apocalyptic number.

13866443136 is a gapful number since it is divisible by the number (16) 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 13866443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970693120).

13866443136 is an abundant number, since it is smaller than the sum of its proper divisors (40074943104).

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

13866443136 is an equidigital number, since it uses as much as digits as its factorization.

13866443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 13866443136 in words is "thirteen billion, eight hundred sixty-six million, four hundred forty-three thousand, one hundred thirty-six".