13834358538 has 128 divisors (see below), whose sum is σ = 37940797440. Its totient is φ = 3246289920.

The previous prime is 13834358537. The next prime is 13834358557. The reversal of 13834358538 is 83585343831.

13834358538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (13834358537) by changing a digit.

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, 257778 + ... + 306786.

It is an arithmetic number, because the mean of its divisors is an integer number (296412480).

Almost surely, 2^13834358538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13834358538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970398720).

13834358538 is an abundant number, since it is smaller than the sum of its proper divisors (24106438902).

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

13834358538 is a wasteful number, since it uses less digits than its factorization.

13834358538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49092.

The product of its digits is 4147200, while the sum is 51.

The spelling of 13834358538 in words is "thirteen billion, eight hundred thirty-four million, three hundred fifty-eight thousand, five hundred thirty-eight".