14428730144 has 48 divisors (see below), whose sum is σ = 30111727968. Its totient is φ = 6782272512.

The previous prime is 14428730143. The next prime is 14428730159. The reversal of 14428730144 is 44103782441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14428730098 and 14428730107.

It is not an unprimeable number, because it can be changed into a prime (14428730143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478787 + ... + 508029.

It is an arithmetic number, because the mean of its divisors is an integer number (627327666).

Almost surely, 2^14428730144 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 14428730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055863984).

14428730144 is an abundant number, since it is smaller than the sum of its proper divisors (15682997824).

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

14428730144 is a wasteful number, since it uses less digits than its factorization.

14428730144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30177 (or 30169 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 14428730144 in words is "fourteen billion, four hundred twenty-eight million, seven hundred thirty thousand, one hundred forty-four".