14408448583680 has 960 divisors, whose sum is σ = 54825181931520. Its totient is φ = 3606792634368.

The previous prime is 14408448583673. The next prime is 14408448583699. The reversal of 14408448583680 is 8638584480441.

It is a happy number.

14408448583680 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 8 + 4 + 48 + 583 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6528521137 + ... + 6528523343.

It is an arithmetic number, because the mean of its divisors is an integer number (57109564512).

Almost surely, 2^{14408448583680} is an apocalyptic number.

14408448583680 is a gapful number since it is divisible by the number (10) 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 14408448583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412590965760).

14408448583680 is an abundant number, since it is smaller than the sum of its proper divisors (40416733347840).

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

14408448583680 is a wasteful number, since it uses less digits than its factorization.

14408448583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 14408448583680 in words is "fourteen trillion, four hundred eight billion, four hundred forty-eight million, five hundred eighty-three thousand, six hundred eighty".