14129286144 has 88 divisors (see below), whose sum is σ = 38874789888. Its totient is φ = 4557803520.

The previous prime is 14129286133. The next prime is 14129286169. The reversal of 14129286144 is 44168292141.

It is a junction number, because it is equal to n+sod(n) for n = 14129286096 and 14129286105.

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 7 ways as a sum of consecutive naturals, for example, 21049 + ... + 169415.

It is an arithmetic number, because the mean of its divisors is an integer number (441758976).

Almost surely, 2^14129286144 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 14129286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19437394944).

14129286144 is an abundant number, since it is smaller than the sum of its proper divisors (24745503744).

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

14129286144 is a wasteful number, since it uses less digits than its factorization.

14129286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148421 (or 148403 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The spelling of 14129286144 in words is "fourteen billion, one hundred twenty-nine million, two hundred eighty-six thousand, one hundred forty-four".