13205689344 has 132 divisors (see below), whose sum is σ = 39062286900. Its totient is φ = 4294410240.

The previous prime is 13205689331. The next prime is 13205689363. The reversal of 13205689344 is 44398650231.

It can be written as a sum of positive squares in 2 ways, for example, as 589906944 + 12615782400 = 24288^2 + 112320^2 .

It is a super-3 number, since 3×13205689344³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13205689344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360382 + ... + 395330.

Almost surely, 2^13205689344 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 13205689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531143450).

13205689344 is an abundant number, since it is smaller than the sum of its proper divisors (25856597556).

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

13205689344 is a wasteful number, since it uses less digits than its factorization.

13205689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35016 (or 34995 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13205689344 in words is "thirteen billion, two hundred five million, six hundred eighty-nine thousand, three hundred forty-four".