13630960896 has 288 divisors, whose sum is σ = 43326259200. Its totient is φ = 3722526720.

The previous prime is 13630960877. The next prime is 13630960939. The reversal of 13630960896 is 69806903631.

13630960896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13630960896² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14831925 + ... + 14832843.

It is an arithmetic number, because the mean of its divisors is an integer number (150438400).

Almost surely, 2^13630960896 is an apocalyptic number.

13630960896 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 13630960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663129600).

13630960896 is an abundant number, since it is smaller than the sum of its proper divisors (29695298304).

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

13630960896 is an equidigital number, since it uses as much as digits as its factorization.

13630960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 13630960896 in words is "thirteen billion, six hundred thirty million, nine hundred sixty thousand, eight hundred ninety-six".