12714084687168 has 168 divisors, whose sum is σ = 37431343076712. Its totient is φ = 4123070595072.

The previous prime is 12714084687149. The next prime is 12714084687169. The reversal of 12714084687168 is 86178648041721.

12714084687168 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 4 + 0 + 8 + 468 + 7 + 168 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1563080053824 + 11151004633344 = 1250232^2 + 3339312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12714084687169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266312196 + ... + 266359932.

Almost surely, 2^{12714084687168} is an apocalyptic number.

12714084687168 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 12714084687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18715671538356).

12714084687168 is an abundant number, since it is smaller than the sum of its proper divisors (24717258389544).

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

12714084687168 is a wasteful number, since it uses less digits than its factorization.

12714084687168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60289 (or 60276 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 12714084687168 in words is "twelve trillion, seven hundred fourteen billion, eighty-four million, six hundred eighty-seven thousand, one hundred sixty-eight".