14281365226896 has 320 divisors, whose sum is σ = 42248295936000. Its totient is φ = 4616920788480.

The previous prime is 14281365226883. The next prime is 14281365226901. The reversal of 14281365226896 is 69862256318241.

14281365226896 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 1 + 365 + 2 + 268 + 9 + 6 = 666.

14281365226896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4033142886 + ... + 4033146426.

It is an arithmetic number, because the mean of its divisors is an integer number (132025924800).

Almost surely, 2^{14281365226896} is an apocalyptic number.

14281365226896 is a gapful number since it is divisible by the number (16) 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 14281365226896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21124147968000).

14281365226896 is an abundant number, since it is smaller than the sum of its proper divisors (27966930709104).

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

14281365226896 is a wasteful number, since it uses less digits than its factorization.

14281365226896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5687 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 14281365226896 in words is "fourteen trillion, two hundred eighty-one billion, three hundred sixty-five million, two hundred twenty-six thousand, eight hundred ninety-six".