14289544282468 has 192 divisors, whose sum is σ = 32119911129600. Its totient is φ = 5410093731840.

The previous prime is 14289544282457. The next prime is 14289544282537. The reversal of 14289544282468 is 86428244598241.

It is a super-2 number, since 2×14289544282468² (a number of 27 digits) contains 22 as substring.

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, 548719528 + ... + 548745568.

It is an arithmetic number, because the mean of its divisors is an integer number (167291203800).

Almost surely, 2^{14289544282468} 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 14289544282468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059955564800).

14289544282468 is an abundant number, since it is smaller than the sum of its proper divisors (17830366847132).

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

14289544282468 is a wasteful number, since it uses less digits than its factorization.

14289544282468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26550 (or 26548 counting only the distinct ones).

The product of its digits is 283115520, while the sum is 67.

The spelling of 14289544282468 in words is "fourteen trillion, two hundred eighty-nine billion, five hundred forty-four million, two hundred eighty-two thousand, four hundred sixty-eight".