14156814144 has 224 divisors, whose sum is σ = 42552225792. Its totient is φ = 4149235200.

The previous prime is 14156814137. The next prime is 14156814149. The reversal of 14156814144 is 44141865141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14156814149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7921219 + ... + 7923005.

Almost surely, 2^14156814144 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 14156814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276112896).

14156814144 is an abundant number, since it is smaller than the sum of its proper divisors (28395411648).

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

14156814144 is a wasteful number, since it uses less digits than its factorization.

14156814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1834 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The spelling of 14156814144 in words is "fourteen billion, one hundred fifty-six million, eight hundred fourteen thousand, one hundred forty-four".