13784187648 has 576 divisors, whose sum is σ = 48035635200. Its totient is φ = 3477196800.

The previous prime is 13784187623. The next prime is 13784187671. The reversal of 13784187648 is 84678148731.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194143453 + ... + 194143523.

It is an arithmetic number, because the mean of its divisors is an integer number (83395200).

Almost surely, 2^13784187648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13784187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017817600).

13784187648 is an abundant number, since it is smaller than the sum of its proper divisors (34251447552).

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

13784187648 is an equidigital number, since it uses as much as digits as its factorization.

13784187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The spelling of 13784187648 in words is "thirteen billion, seven hundred eighty-four million, one hundred eighty-seven thousand, six hundred forty-eight".