14082382185480 has 768 divisors, whose sum is σ = 54686505369600. Its totient is φ = 3075117281280.

The previous prime is 14082382185457. The next prime is 14082382185499. The reversal of 14082382185480 is 8458128328041.

14082382185480 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 2 + 3 + 82 + 1 + 85 + 480 = 666.

It is a super-2 number, since 2×14082382185480² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6000161667 + ... + 6000164013.

It is an arithmetic number, because the mean of its divisors is an integer number (71206387200).

Almost surely, 2^{14082382185480} is an apocalyptic number.

14082382185480 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 14082382185480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27343252684800).

14082382185480 is an abundant number, since it is smaller than the sum of its proper divisors (40604123184120).

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

14082382185480 is a wasteful number, since it uses less digits than its factorization.

14082382185480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 14082382185480 in words is "fourteen trillion, eighty-two billion, three hundred eighty-two million, one hundred eighty-five thousand, four hundred eighty".