14082662880 has 288 divisors, whose sum is σ = 56459501280. Its totient is φ = 3151319040.

The previous prime is 14082662879. The next prime is 14082662887. The reversal of 14082662880 is 8826628041.

14082662880 is a `hidden beast` number, since 14 + 0 + 8 + 2 + 6 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14082662887) 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, 171726 + ... + 240114.

It is an arithmetic number, because the mean of its divisors is an integer number (196039935).

Almost surely, 2^14082662880 is an apocalyptic number.

14082662880 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 14082662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28229750640).

14082662880 is an abundant number, since it is smaller than the sum of its proper divisors (42376838400).

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

14082662880 is a wasteful number, since it uses less digits than its factorization.

14082662880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68434 (or 68423 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14082662880 in words is "fourteen billion, eighty-two million, six hundred sixty-two thousand, eight hundred eighty".