14009322096 has 480 divisors, whose sum is σ = 51476705280. Its totient is φ = 3450470400.

The previous prime is 14009322029. The next prime is 14009322139. The reversal of 14009322096 is 69022390041.

It is a super-2 number, since 2×14009322096² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14009322096.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 18217200 + ... + 18217968.

It is an arithmetic number, because the mean of its divisors is an integer number (107243136).

Almost surely, 2^14009322096 is an apocalyptic number.

14009322096 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 14009322096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

14009322096 is an abundant number, since it is smaller than the sum of its proper divisors (37467383184).

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

14009322096 is a wasteful number, since it uses less digits than its factorization.

14009322096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 14009322096 in words is "fourteen billion, nine million, three hundred twenty-two thousand, ninety-six".