13528841384448 has 1280 divisors, whose sum is σ = 48907269734400. Its totient is φ = 3649827962880.

The previous prime is 13528841384447. The next prime is 13528841384477. The reversal of 13528841384448 is 84448314882531.

13528841384448 is a `hidden beast` number, since 1 + 3 + 5 + 28 + 84 + 13 + 84 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (13528841384447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2434555686 + ... + 2434561242.

It is an arithmetic number, because the mean of its divisors is an integer number (38208804480).

Almost surely, 2^{13528841384448} is an apocalyptic number.

13528841384448 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 13528841384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24453634867200).

13528841384448 is an abundant number, since it is smaller than the sum of its proper divisors (35378428349952).

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

13528841384448 is a wasteful number, since it uses less digits than its factorization.

13528841384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 5648 counting only the distinct ones).

The product of its digits is 94371840, while the sum is 63.

The spelling of 13528841384448 in words is "thirteen trillion, five hundred twenty-eight billion, eight hundred forty-one million, three hundred eighty-four thousand, four hundred forty-eight".