14682083328000 has 2048 divisors, whose sum is σ = 60359307840000. Its totient is φ = 3535405056000.

The previous prime is 14682083327999. The next prime is 14682083328001. The reversal of 14682083328000 is 82338028641.

14682083328000 is a `hidden beast` number, since 1 + 468 + 2 + 0 + 83 + 32 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14682083327999) and next prime (14682083328001).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14682083328001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98537471926 + ... + 98537472074.

Almost surely, 2^{14682083328000} is an apocalyptic number.

14682083328000 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 14682083328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30179653920000).

14682083328000 is an abundant number, since it is smaller than the sum of its proper divisors (45677224512000).

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

14682083328000 is an frugal number, since it uses more digits than its factorization.

14682083328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14682083328000 in words is "fourteen trillion, six hundred eighty-two billion, eighty-three million, three hundred twenty-eight thousand".