14136385536 has 672 divisors, whose sum is σ = 52478025600. Its totient is φ = 3641573376.

The previous prime is 14136385519. The next prime is 14136385537. The reversal of 14136385536 is 63558363141.

14136385536 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 638 + 5 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 14136385491 and 14136385500.

It is not an unprimeable number, because it can be changed into a prime (14136385537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328753131 + ... + 328753173.

It is an arithmetic number, because the mean of its divisors is an integer number (78092300).

Almost surely, 2^14136385536 is an apocalyptic number.

14136385536 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 14136385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26239012800).

14136385536 is an abundant number, since it is smaller than the sum of its proper divisors (38341640064).

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

14136385536 is an equidigital number, since it uses as much as digits as its factorization.

14136385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 14136385536 in words is "fourteen billion, one hundred thirty-six million, three hundred eighty-five thousand, five hundred thirty-six".