13848896352 has 192 divisors, whose sum is σ = 38816354304. Its totient is φ = 4315576320.

The previous prime is 13848896297. The next prime is 13848896381. The reversal of 13848896352 is 25369884831.

13848896352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13848896292 and 13848896301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19049013 + ... + 19049739.

It is an arithmetic number, because the mean of its divisors is an integer number (202168512).

Almost surely, 2^13848896352 is an apocalyptic number.

13848896352 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 13848896352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408177152).

13848896352 is an abundant number, since it is smaller than the sum of its proper divisors (24967457952).

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

13848896352 is a wasteful number, since it uses less digits than its factorization.

13848896352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 13848896352 in words is "thirteen billion, eight hundred forty-eight million, eight hundred ninety-six thousand, three hundred fifty-two".