13838846112 has 768 divisors, whose sum is σ = 52489866240. Its totient is φ = 3493601280.

The previous prime is 13838846111. The next prime is 13838846143. The reversal of 13838846112 is 21164883831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838846111) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 261110278 + ... + 261110330.

It is an arithmetic number, because the mean of its divisors is an integer number (68346180).

Almost surely, 2^13838846112 is an apocalyptic number.

13838846112 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 13838846112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26244933120).

13838846112 is an abundant number, since it is smaller than the sum of its proper divisors (38651020128).

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

13838846112 is an equidigital number, since it uses as much as digits as its factorization.

13838846112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 13838846112 in words is "thirteen billion, eight hundred thirty-eight million, eight hundred forty-six thousand, one hundred twelve".