13647485824 has 128 divisors (see below), whose sum is σ = 31475404800. Its totient is φ = 5773676544.

The previous prime is 13647485809. The next prime is 13647485857. The reversal of 13647485824 is 42858474631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33367732 + ... + 33368140.

It is an arithmetic number, because the mean of its divisors is an integer number (245901600).

Almost surely, 2^13647485824 is an apocalyptic number.

13647485824 is a gapful number since it is divisible by the number (14) 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 13647485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737702400).

13647485824 is an abundant number, since it is smaller than the sum of its proper divisors (17827918976).

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

13647485824 is a wasteful number, since it uses less digits than its factorization.

13647485824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 808 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 52.

The spelling of 13647485824 in words is "thirteen billion, six hundred forty-seven million, four hundred eighty-five thousand, eight hundred twenty-four".