14222000268 has 144 divisors (see below), whose sum is σ = 41906592000. Its totient is φ = 3982667904.

The previous prime is 14222000189. The next prime is 14222000269. The reversal of 14222000268 is 86200022241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14222000269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5782423 + ... + 5784881.

It is an arithmetic number, because the mean of its divisors is an integer number (291018000).

Almost surely, 2^14222000268 is an apocalyptic number.

14222000268 is a gapful number since it is divisible by the number (18) 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 14222000268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953296000).

14222000268 is an abundant number, since it is smaller than the sum of its proper divisors (27684591732).

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

14222000268 is a wasteful number, since it uses less digits than its factorization.

14222000268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14222000268 in words is "fourteen billion, two hundred twenty-two million, two hundred sixty-eight", and thus it is an aban number.