12685187142144 has 480 divisors, whose sum is σ = 40169755042560. Its totient is φ = 3821814374400.

The previous prime is 12685187142119. The next prime is 12685187142283. The reversal of 12685187142144 is 44124178158621.

12685187142144 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 518 + 71 + 42 + 14 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7835198167 + ... + 7835199785.

It is an arithmetic number, because the mean of its divisors is an integer number (83686989672).

Almost surely, 2^{12685187142144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12685187142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20084877521280).

12685187142144 is an abundant number, since it is smaller than the sum of its proper divisors (27484567900416).

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

12685187142144 is a wasteful number, since it uses less digits than its factorization.

12685187142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2433 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 12685187142144 in words is "twelve trillion, six hundred eighty-five billion, one hundred eighty-seven million, one hundred forty-two thousand, one hundred forty-four".