2385168016014 has 432 divisors, whose sum is σ = 6893948037600. Its totient is φ = 592305702912.

The previous prime is 2385168015977. The next prime is 2385168016039. The reversal of 2385168016014 is 4106108615832.

2385168016014 is a `hidden beast` number, since 2 + 38 + 5 + 1 + 6 + 8 + 0 + 1 + 601 + 4 = 666.

2385168016014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 170009952 + ... + 170023980.

It is an arithmetic number, because the mean of its divisors is an integer number (15958213050).

Almost surely, 2^{2385168016014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385168016014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446974018800).

2385168016014 is an abundant number, since it is smaller than the sum of its proper divisors (4508780021586).

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

2385168016014 is a wasteful number, since it uses less digits than its factorization.

2385168016014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14137 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2385168016014 in words is "two trillion, three hundred eighty-five billion, one hundred sixty-eight million, sixteen thousand, fourteen".