14818563144 has 960 divisors, whose sum is σ = 57934800000. Its totient is φ = 3520661760.

The previous prime is 14818563139. The next prime is 14818563157. The reversal of 14818563144 is 44136581841.

14818563144 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 8 + 5 + 631 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14818563144.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 510984922 + ... + 510984950.

It is an arithmetic number, because the mean of its divisors is an integer number (60348750).

Almost surely, 2^14818563144 is an apocalyptic number.

14818563144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14818563144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967400000).

14818563144 is an abundant number, since it is smaller than the sum of its proper divisors (43116236856).

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

14818563144 is a wasteful number, since it uses less digits than its factorization.

14818563144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 14818563144 in words is "fourteen billion, eight hundred eighteen million, five hundred sixty-three thousand, one hundred forty-four".