13438428168 has 64 divisors (see below), whose sum is σ = 36706348800. Its totient is φ = 4066018880.

The previous prime is 13438428149. The next prime is 13438428193. The reversal of 13438428168 is 86182483431.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 135355 + ... + 212597.

It is an arithmetic number, because the mean of its divisors is an integer number (573536700).

Almost surely, 2^13438428168 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 13438428168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18353174400).

13438428168 is an abundant number, since it is smaller than the sum of its proper divisors (23267920632).

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

13438428168 is a wasteful number, since it uses less digits than its factorization.

13438428168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77922 (or 77918 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The spelling of 13438428168 in words is "thirteen billion, four hundred thirty-eight million, four hundred twenty-eight thousand, one hundred sixty-eight".