14091964224 has 224 divisors, whose sum is σ = 42905842560. Its totient is φ = 4043440128.

The previous prime is 14091964223. The next prime is 14091964279. The reversal of 14091964224 is 42246919041.

14091964224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091964223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4793347 + ... + 4796285.

It is an arithmetic number, because the mean of its divisors is an integer number (191543940).

Almost surely, 2^14091964224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14091964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21452921280).

14091964224 is an abundant number, since it is smaller than the sum of its proper divisors (28813878336).

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

14091964224 is a wasteful number, since it uses less digits than its factorization.

14091964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 14091964224 in words is "fourteen billion, ninety-one million, nine hundred sixty-four thousand, two hundred twenty-four".