13846016448 has 168 divisors, whose sum is σ = 44742232080. Its totient is φ = 4195699200.

The previous prime is 13846016417. The next prime is 13846016467. The reversal of 13846016448 is 84461064831.

13846016448 is a `hidden beast` number, since 1 + 38 + 4 + 601 + 6 + 4 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175978 + ... + 242198.

It is an arithmetic number, because the mean of its divisors is an integer number (266322810).

Almost surely, 2^13846016448 is an apocalyptic number.

13846016448 is a gapful number since it is divisible by the number (18) 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 13846016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22371116040).

13846016448 is an abundant number, since it is smaller than the sum of its proper divisors (30896215632).

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

13846016448 is a wasteful number, since it uses less digits than its factorization.

13846016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66264 (or 66237 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13846016448 in words is "thirteen billion, eight hundred forty-six million, sixteen thousand, four hundred forty-eight".