13809295968256 has 96 divisors (see below), whose sum is σ = 27892135252800. Its totient is φ = 6834593382400.

The previous prime is 13809295968239. The next prime is 13809295968287. The reversal of 13809295968256 is 65286959290831.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1456825725 + ... + 1456835203.

It is an arithmetic number, because the mean of its divisors is an integer number (290543075550).

Almost surely, 2^{13809295968256} is an apocalyptic number.

13809295968256 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 13809295968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946067626400).

13809295968256 is an abundant number, since it is smaller than the sum of its proper divisors (14082839284544).

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

13809295968256 is an equidigital number, since it uses as much as digits as its factorization.

13809295968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16645 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 73.

The spelling of 13809295968256 in words is "thirteen trillion, eight hundred nine billion, two hundred ninety-five million, nine hundred sixty-eight thousand, two hundred fifty-six".