14085342336 has 128 divisors (see below), whose sum is σ = 41381726400. Its totient is φ = 4216762368.

The previous prime is 14085342331. The next prime is 14085342353. The reversal of 14085342336 is 63324358041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 14085342294 and 14085342303.

It is not an unprimeable number, because it can be changed into a prime (14085342331) 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 15 ways as a sum of consecutive naturals, for example, 146575 + ... + 222833.

Almost surely, 2^14085342336 is an apocalyptic number.

14085342336 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 14085342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690863200).

14085342336 is an abundant number, since it is smaller than the sum of its proper divisors (27296384064).

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

14085342336 is a wasteful number, since it uses less digits than its factorization.

14085342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76326 (or 76314 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 14085342336 in words is "fourteen billion, eighty-five million, three hundred forty-two thousand, three hundred thirty-six".