12888884448 has 288 divisors, whose sum is σ = 41268165120. Its totient is φ = 3782215680.

The previous prime is 12888884443. The next prime is 12888884507. The reversal of 12888884448 is 84448888821.

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

It is a super-2 number, since 2×12888884448² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888884443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15931468 + ... + 15932276.

It is an arithmetic number, because the mean of its divisors is an integer number (143292240).

Almost surely, 2^12888884448 is an apocalyptic number.

12888884448 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 12888884448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20634082560).

12888884448 is an abundant number, since it is smaller than the sum of its proper divisors (28379280672).

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

12888884448 is a wasteful number, since it uses less digits than its factorization.

12888884448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its digits is 33554432, while the sum is 63.

The spelling of 12888884448 in words is "twelve billion, eight hundred eighty-eight million, eight hundred eighty-four thousand, four hundred forty-eight".