14082848640 has 768 divisors, whose sum is σ = 60491059200. Its totient is φ = 2946170880.

The previous prime is 14082848623. The next prime is 14082848677. The reversal of 14082848640 is 4684828041.

14082848640 is a `hidden beast` number, since 140 + 8 + 28 + 486 + 4 + 0 = 666.

14082848640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23748184 + ... + 23748776.

It is an arithmetic number, because the mean of its divisors is an integer number (78764400).

Almost surely, 2^14082848640 is an apocalyptic number.

14082848640 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 14082848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30245529600).

14082848640 is an abundant number, since it is smaller than the sum of its proper divisors (46408210560).

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

14082848640 is a wasteful number, since it uses less digits than its factorization.

14082848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 14082848640 in words is "fourteen billion, eighty-two million, eight hundred forty-eight thousand, six hundred forty".