14429380594464 has 864 divisors, whose sum is σ = 49402843176960. Its totient is φ = 3956876697600.

The previous prime is 14429380594397. The next prime is 14429380594477. The reversal of 14429380594464 is 46449508392441.

14429380594464 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 9 + 3 + 80 + 5 + 94 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4626282697 + ... + 4626285815.

It is an arithmetic number, because the mean of its divisors is an integer number (57179216640).

Almost surely, 2^{14429380594464} 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 14429380594464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701421588480).

14429380594464 is an abundant number, since it is smaller than the sum of its proper divisors (34973462582496).

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

14429380594464 is a wasteful number, since it uses less digits than its factorization.

14429380594464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 14429380594464 in words is "fourteen trillion, four hundred twenty-nine billion, three hundred eighty million, five hundred ninety-four thousand, four hundred sixty-four".