14082785608320 has 2688 divisors, whose sum is σ = 61777870963200. Its totient is φ = 3044807884800.

The previous prime is 14082785608303. The next prime is 14082785608363. The reversal of 14082785608320 is 2380658728041.

14082785608320 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 2 + 7 + 8 + 5 + 608 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22750864971 + ... + 22750865589.

It is an arithmetic number, because the mean of its divisors is an integer number (22982838900).

Almost surely, 2^{14082785608320} is an apocalyptic number.

14082785608320 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 14082785608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888935481600).

14082785608320 is an abundant number, since it is smaller than the sum of its proper divisors (47695085354880).

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

14082785608320 is a wasteful number, since it uses less digits than its factorization.

14082785608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 14082785608320 in words is "fourteen trillion, eighty-two billion, seven hundred eighty-five million, six hundred eight thousand, three hundred twenty".