14482388680704 has 864 divisors, whose sum is σ = 52516143179136. Its totient is φ = 3893404631040.

The previous prime is 14482388680703. The next prime is 14482388680751. The reversal of 14482388680704 is 40708688328441.

14482388680704 is a `hidden beast` number, since 1 + 4 + 482 + 3 + 8 + 8 + 6 + 80 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14482388680703) 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, 3790207114 + ... + 3790210934.

It is an arithmetic number, because the mean of its divisors is an integer number (60782573124).

Almost surely, 2^{14482388680704} is an apocalyptic number.

14482388680704 is a gapful number since it is divisible by the number (14) 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 14482388680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26258071589568).

14482388680704 is an abundant number, since it is smaller than the sum of its proper divisors (38033754498432).

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

14482388680704 is an frugal number, since it uses more digits than its factorization.

14482388680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 14482388680704 in words is "fourteen trillion, four hundred eighty-two billion, three hundred eighty-eight million, six hundred eighty thousand, seven hundred four".