14519430144 has 220 divisors, whose sum is σ = 43630560424. Its totient is φ = 4809424896.

The previous prime is 14519430113. The next prime is 14519430157. The reversal of 14519430144 is 44103491541.

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

It is a junction number, because it is equal to n+sod(n) for n = 14519430099 and 14519430108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16007739 + ... + 16008645.

Almost surely, 2^14519430144 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 14519430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21815280212).

14519430144 is an abundant number, since it is smaller than the sum of its proper divisors (29111130280).

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

14519430144 is an equidigital number, since it uses as much as digits as its factorization.

14519430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14519430144 in words is "fourteen billion, five hundred nineteen million, four hundred thirty thousand, one hundred forty-four".