14686080864 has 576 divisors, whose sum is σ = 51068731392. Its totient is φ = 3657830400.

The previous prime is 14686080781. The next prime is 14686080919. The reversal of 14686080864 is 46808068641.

It is a super-2 number, since 2×14686080864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115638369 + ... + 115638495.

It is an arithmetic number, because the mean of its divisors is an integer number (88660992).

Almost surely, 2^14686080864 is an apocalyptic number.

14686080864 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 14686080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534365696).

14686080864 is an abundant number, since it is smaller than the sum of its proper divisors (36382650528).

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

14686080864 is a wasteful number, since it uses less digits than its factorization.

14686080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 14686080864 in words is "fourteen billion, six hundred eighty-six million, eighty thousand, eight hundred sixty-four".