14089072704 has 168 divisors, whose sum is σ = 43440949440. Its totient is φ = 4018258944.

The previous prime is 14089072691. The next prime is 14089072721. The reversal of 14089072704 is 40727098041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7497237 + ... + 7499115.

It is an arithmetic number, because the mean of its divisors is an integer number (258577080).

Almost surely, 2^14089072704 is an apocalyptic number.

14089072704 is a gapful number since it is divisible by the number (14) 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 14089072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21720474720).

14089072704 is an abundant number, since it is smaller than the sum of its proper divisors (29351876736).

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

14089072704 is a wasteful number, since it uses less digits than its factorization.

14089072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 14089072704 in words is "fourteen billion, eighty-nine million, seventy-two thousand, seven hundred four".