13088484864 has 540 divisors, whose sum is σ = 47720322936. Its totient is φ = 3451908096.

The previous prime is 13088484863. The next prime is 13088484869. The reversal of 13088484864 is 46848488031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13088484864 is a `hidden beast` number, since 1 + 3 + 0 + 88 + 484 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13088484864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13088484863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1006806522 + ... + 1006806534.

Almost surely, 2^13088484864 is an apocalyptic number.

13088484864 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 13088484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23860161468).

13088484864 is an abundant number, since it is smaller than the sum of its proper divisors (34631838072).

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

13088484864 is an frugal number, since it uses more digits than its factorization.

13088484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 13088484864 in words is "thirteen billion, eighty-eight million, four hundred eighty-four thousand, eight hundred sixty-four".