13868846784 has 448 divisors, whose sum is σ = 46299120000. Its totient is φ = 4041031680.

The previous prime is 13868846779. The next prime is 13868846791. The reversal of 13868846784 is 48764886831.

13868846784 is a `hidden beast` number, since 1 + 38 + 68 + 8 + 467 + 84 = 666.

13868846784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13868846784² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39738642 + ... + 39738990.

It is an arithmetic number, because the mean of its divisors is an integer number (103346250).

Almost surely, 2^13868846784 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 13868846784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23149560000).

13868846784 is an abundant number, since it is smaller than the sum of its proper divisors (32430273216).

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

13868846784 is a wasteful number, since it uses less digits than its factorization.

13868846784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 13868846784 in words is "thirteen billion, eight hundred sixty-eight million, eight hundred forty-six thousand, seven hundred eighty-four".