14083673899680 has 4608 divisors, whose sum is σ = 69319950336000. Its totient is φ = 2666558361600.

The previous prime is 14083673899679. The next prime is 14083673899703. The reversal of 14083673899680 is 8699837638041.

14083673899680 is a `hidden beast` number, since 1 + 4 + 0 + 83 + 6 + 7 + 389 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14083673899599 and 14083673899608.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 86402907279 + ... + 86402907441.

It is an arithmetic number, because the mean of its divisors is an integer number (15043392000).

Almost surely, 2^{14083673899680} is an apocalyptic number.

14083673899680 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 14083673899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659975168000).

14083673899680 is an abundant number, since it is smaller than the sum of its proper divisors (55236276436320).

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

14083673899680 is a wasteful number, since it uses less digits than its factorization.

14083673899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 14083673899680 in words is "fourteen trillion, eighty-three billion, six hundred seventy-three million, eight hundred ninety-nine thousand, six hundred eighty".