14135666688 has 576 divisors, whose sum is σ = 49797296640. Its totient is φ = 3804364800.

The previous prime is 14135666681. The next prime is 14135666693. The reversal of 14135666688 is 88666653141.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (4976640) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (14135666681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81708970 + ... + 81709142.

It is an arithmetic number, because the mean of its divisors is an integer number (86453640).

Almost surely, 2^14135666688 is an apocalyptic number.

14135666688 is a gapful number since it is divisible by the number (18) 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 14135666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24898648320).

14135666688 is an abundant number, since it is smaller than the sum of its proper divisors (35661629952).

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

14135666688 is a wasteful number, since it uses less digits than its factorization.

14135666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 14135666688 in words is "fourteen billion, one hundred thirty-five million, six hundred sixty-six thousand, six hundred eighty-eight".