14124642304 has 104 divisors (see below), whose sum is σ = 30339201888. Its totient is φ = 6550978560.

The previous prime is 14124642223. The next prime is 14124642361. The reversal of 14124642304 is 40324642141.

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 7 ways as a sum of consecutive naturals, for example, 4942444 + ... + 4945300.

Almost surely, 2^14124642304 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 14124642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169600944).

14124642304 is an abundant number, since it is smaller than the sum of its proper divisors (16214559584).

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

14124642304 is an equidigital number, since it uses as much as digits as its factorization.

14124642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 14124642304 in words is "fourteen billion, one hundred twenty-four million, six hundred forty-two thousand, three hundred four".