13894848000 has 1280 divisors, whose sum is σ = 60668974080. Its totient is φ = 3096576000.

The previous prime is 13894847963. The next prime is 13894848013. The reversal of 13894848000 is 84849831.

13894848000 is a `hidden beast` number, since 13 + 89 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 323135979 + ... + 323136021.

It is an arithmetic number, because the mean of its divisors is an integer number (47397636).

Almost surely, 2^13894848000 is an apocalyptic number.

13894848000 is a gapful number since it is divisible by the number (10) 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 13894848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30334487040).

13894848000 is an abundant number, since it is smaller than the sum of its proper divisors (46774126080).

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

13894848000 is a wasteful number, since it uses less digits than its factorization.

13894848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

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

The spelling of 13894848000 in words is "thirteen billion, eight hundred ninety-four million, eight hundred forty-eight thousand".