14671817664 has 112 divisors (see below), whose sum is σ = 44395948800. Its totient is φ = 4189003776.

The previous prime is 14671817647. The next prime is 14671817711. The reversal of 14671817664 is 46671817641.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535927 + ... + 2541705.

It is an arithmetic number, because the mean of its divisors is an integer number (396392400).

Almost surely, 2^14671817664 is an apocalyptic number.

14671817664 is a gapful number since it is divisible by the number (14) 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 14671817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197974400).

14671817664 is an abundant number, since it is smaller than the sum of its proper divisors (29724131136).

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

14671817664 is a wasteful number, since it uses less digits than its factorization.

14671817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7680 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 14671817664 in words is "fourteen billion, six hundred seventy-one million, eight hundred seventeen thousand, six hundred sixty-four".