14347248144 has 160 divisors (see below), whose sum is σ = 38449920000. Its totient is φ = 4607995392.

The previous prime is 14347248133. The next prime is 14347248161. The reversal of 14347248144 is 44184274341.

It is a happy number.

It is a super-2 number, since 2×14347248144² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14347248096 and 14347248105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37855347 + ... + 37855725.

It is an arithmetic number, because the mean of its divisors is an integer number (240312000).

Almost surely, 2^14347248144 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 14347248144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224960000).

14347248144 is an abundant number, since it is smaller than the sum of its proper divisors (24102671856).

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

14347248144 is a wasteful number, since it uses less digits than its factorization.

14347248144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The spelling of 14347248144 in words is "fourteen billion, three hundred forty-seven million, two hundred forty-eight thousand, one hundred forty-four".