13885632288 has 288 divisors, whose sum is σ = 45542952000. Its totient is φ = 3968870400.

The previous prime is 13885632259. The next prime is 13885632323. The reversal of 13885632288 is 88223658831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13885632288² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21006678 + ... + 21007338.

It is an arithmetic number, because the mean of its divisors is an integer number (158135250).

Almost surely, 2^13885632288 is an apocalyptic number.

13885632288 is a gapful number since it is divisible by the number (18) 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 13885632288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771476000).

13885632288 is an abundant number, since it is smaller than the sum of its proper divisors (31657319712).

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

13885632288 is a wasteful number, since it uses less digits than its factorization.

13885632288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 13885632288 in words is "thirteen billion, eight hundred eighty-five million, six hundred thirty-two thousand, two hundred eighty-eight".