13848812485200 has 720 divisors, whose sum is σ = 60389945081856. Its totient is φ = 2855009203200.

The previous prime is 13848812485159. The next prime is 13848812485223. The reversal of 13848812485200 is 258421884831.

13848812485200 is a `hidden beast` number, since 1 + 3 + 84 + 8 + 81 + 2 + 485 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35007709 + ... + 35401091.

Almost surely, 2^{13848812485200} is an apocalyptic number.

13848812485200 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 13848812485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30194972540928).

13848812485200 is an abundant number, since it is smaller than the sum of its proper divisors (46541132596656).

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

13848812485200 is a wasteful number, since it uses less digits than its factorization.

13848812485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393552 (or 393538 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 13848812485200 in words is "thirteen trillion, eight hundred forty-eight billion, eight hundred twelve million, four hundred eighty-five thousand, two hundred".