13909583776 has 96 divisors (see below), whose sum is σ = 31639362048. Its totient is φ = 5957149440.

The previous prime is 13909583773. The next prime is 13909583791. The reversal of 13909583776 is 67738590931.

It is a happy number.

13909583776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13909583776.

It is not an unprimeable number, because it can be changed into a prime (13909583771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529611 + ... + 555253.

It is an arithmetic number, because the mean of its divisors is an integer number (329576688).

Almost surely, 2^13909583776 is an apocalyptic number.

13909583776 is a gapful number since it is divisible by the number (16) 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 13909583776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819681024).

13909583776 is an abundant number, since it is smaller than the sum of its proper divisors (17729778272).

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

13909583776 is a wasteful number, since it uses less digits than its factorization.

13909583776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25754 (or 25746 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 58.

The spelling of 13909583776 in words is "thirteen billion, nine hundred nine million, five hundred eighty-three thousand, seven hundred seventy-six".