13305917408 has 96 divisors (see below), whose sum is σ = 31813979904. Its totient is φ = 5347694592.

The previous prime is 13305917389. The next prime is 13305917419. The reversal of 13305917408 is 80471950331.

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, 1071491 + ... + 1083837.

It is an arithmetic number, because the mean of its divisors is an integer number (331395624).

Almost surely, 2^13305917408 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 13305917408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906989952).

13305917408 is an abundant number, since it is smaller than the sum of its proper divisors (18508062496).

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

13305917408 is a wasteful number, since it uses less digits than its factorization.

13305917408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12656 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 13305917408 in words is "thirteen billion, three hundred five million, nine hundred seventeen thousand, four hundred eight".