12289088448 has 448 divisors, whose sum is σ = 45917347840. Its totient is φ = 3135283200.

The previous prime is 12289088447. The next prime is 12289088473. The reversal of 12289088448 is 84488098221.

12289088448 is a `hidden beast` number, since 12 + 28 + 90 + 88 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12289088394 and 12289088403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12289088447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4873428 + ... + 4875948.

It is an arithmetic number, because the mean of its divisors is an integer number (102494080).

Almost surely, 2^12289088448 is an apocalyptic number.

12289088448 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 12289088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958673920).

12289088448 is an abundant number, since it is smaller than the sum of its proper divisors (33628259392).

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

12289088448 is a wasteful number, since it uses less digits than its factorization.

12289088448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 12289088448 in words is "twelve billion, two hundred eighty-nine million, eighty-eight thousand, four hundred forty-eight".