14166071808 has 320 divisors, whose sum is σ = 44452869120. Its totient is φ = 3925573632.

The previous prime is 14166071807. The next prime is 14166071861. The reversal of 14166071808 is 80817066141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14166071808.

It is not an unprimeable number, because it can be changed into a prime (14166071807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86908335 + ... + 86908497.

It is an arithmetic number, because the mean of its divisors is an integer number (138915216).

Almost surely, 2^14166071808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14166071808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226434560).

14166071808 is an abundant number, since it is smaller than the sum of its proper divisors (30286797312).

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

14166071808 is a wasteful number, since it uses less digits than its factorization.

14166071808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 14166071808 in words is "fourteen billion, one hundred sixty-six million, seventy-one thousand, eight hundred eight".