13838301792 has 576 divisors, whose sum is σ = 49312972800. Its totient is φ = 3734346240.

The previous prime is 13838301779. The next prime is 13838301797. The reversal of 13838301792 is 29710383831.

It is a happy number.

13838301792 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 2×13838301792² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838301797) 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 95 ways as a sum of consecutive naturals, for example, 99556059 + ... + 99556197.

It is an arithmetic number, because the mean of its divisors is an integer number (85612800).

Almost surely, 2^13838301792 is an apocalyptic number.

13838301792 is a gapful number since it is divisible by the number (12) 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 13838301792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24656486400).

13838301792 is an abundant number, since it is smaller than the sum of its proper divisors (35474671008).

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

13838301792 is a wasteful number, since it uses less digits than its factorization.

13838301792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13838301792 in words is "thirteen billion, eight hundred thirty-eight million, three hundred one thousand, seven hundred ninety-two".