13331608704 has 144 divisors (see below), whose sum is σ = 40489734870. Its totient is φ = 4209850368.

The previous prime is 13331608669. The next prime is 13331608747. The reversal of 13331608704 is 40780613331.

13331608704 is a `hidden beast` number, since 13 + 3 + 31 + 608 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6963568704 + 6368040000 = 83448^2 + 79800^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 399844 + ... + 431900.

Almost surely, 2^13331608704 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 13331608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244867435).

13331608704 is an abundant number, since it is smaller than the sum of its proper divisors (27158126166).

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

13331608704 is a wasteful number, since it uses less digits than its factorization.

13331608704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32115 (or 32081 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13331608704 in words is "thirteen billion, three hundred thirty-one million, six hundred eight thousand, seven hundred four".