14313317441688 has 96 divisors (see below), whose sum is σ = 39074850360000. Its totient is φ = 4733126532288.

The previous prime is 14313317441677. The next prime is 14313317441747. The reversal of 14313317441688 is 88614471331341.

14313317441688 is a `hidden beast` number, since 1 + 4 + 3 + 133 + 1 + 7 + 441 + 68 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4074783 + ... + 6725361.

It is an arithmetic number, because the mean of its divisors is an integer number (407029691250).

Almost surely, 2^{14313317441688} is an apocalyptic number.

14313317441688 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 14313317441688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19537425180000).

14313317441688 is an abundant number, since it is smaller than the sum of its proper divisors (24761532918312).

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

14313317441688 is a wasteful number, since it uses less digits than its factorization.

14313317441688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651189 (or 2651182 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 14313317441688 in words is "fourteen trillion, three hundred thirteen billion, three hundred seventeen million, four hundred forty-one thousand, six hundred eighty-eight".