14456585416 has 192 divisors, whose sum is σ = 35530387200. Its totient is φ = 5359343616.

The previous prime is 14456585369. The next prime is 14456585417. The reversal of 14456585416 is 61458565441.

It is a self number, because there is not a number n which added to its sum of digits gives 14456585416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456585417) 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, 132629170 + ... + 132629278.

It is an arithmetic number, because the mean of its divisors is an integer number (185054100).

Almost surely, 2^14456585416 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 14456585416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765193600).

14456585416 is an abundant number, since it is smaller than the sum of its proper divisors (21073801784).

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

14456585416 is a wasteful number, since it uses less digits than its factorization.

14456585416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 243 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 49.

The spelling of 14456585416 in words is "fourteen billion, four hundred fifty-six million, five hundred eighty-five thousand, four hundred sixteen".