14130586566 has 96 divisors (see below), whose sum is σ = 32886217728. Its totient is φ = 4544527680.

The previous prime is 14130586531. The next prime is 14130586571. The reversal of 14130586566 is 66568503141.

14130586566 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 5 + 86 + 566 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1617426 + ... + 1626138.

It is an arithmetic number, because the mean of its divisors is an integer number (342564768).

Almost surely, 2^14130586566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130586566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443108864).

14130586566 is an abundant number, since it is smaller than the sum of its proper divisors (18755631162).

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

14130586566 is an equidigital number, since it uses as much as digits as its factorization.

14130586566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 14130586566 in words is "fourteen billion, one hundred thirty million, five hundred eighty-six thousand, five hundred sixty-six".