13714838905068 has 672 divisors, whose sum is σ = 43449257779200. Its totient is φ = 3780710640000.

The previous prime is 13714838905049. The next prime is 13714838905127. The reversal of 13714838905068 is 86050983841731.

13714838905068 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 4 + 8 + 38 + 90 + 506 + 8 = 666.

13714838905068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13714838904996 and 13714838905014.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 19564677118 + ... + 19564677818.

It is an arithmetic number, because the mean of its divisors is an integer number (64656633600).

Almost surely, 2^{13714838905068} is an apocalyptic number.

13714838905068 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 13714838905068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21724628889600).

13714838905068 is an abundant number, since it is smaller than the sum of its proper divisors (29734418874132).

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

13714838905068 is an equidigital number, since it uses as much as digits as its factorization.

13714838905068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 13714838905068 in words is "thirteen trillion, seven hundred fourteen billion, eight hundred thirty-eight million, nine hundred five thousand, sixty-eight".