14241612288 has 160 divisors (see below), whose sum is σ = 39322483200. Its totient is φ = 4575559680.

The previous prime is 14241612251. The next prime is 14241612293. The reversal of 14241612288 is 88221614241.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16617556 + ... + 16618412.

It is an arithmetic number, because the mean of its divisors is an integer number (245765520).

Almost surely, 2^14241612288 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 14241612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661241600).

14241612288 is an abundant number, since it is smaller than the sum of its proper divisors (25080870912).

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

14241612288 is an equidigital number, since it uses as much as digits as its factorization.

14241612288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1242 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The spelling of 14241612288 in words is "fourteen billion, two hundred forty-one million, six hundred twelve thousand, two hundred eighty-eight".