8448440448448 has 168 divisors, whose sum is σ = 22680009459296. Its totient is φ = 3038399907840.

The previous prime is 8448440448431. The next prime is 8448440448479.

8448440448448 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8448440448448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8448440448448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5289615 + ... + 6699022.

Almost surely, 2^{8448440448448} is an apocalyptic number.

8448440448448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8448440448448 is an abundant number, since it is smaller than the sum of its proper divisors (14231569010848).

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

8448440448448 is a wasteful number, since it uses less digits than its factorization.

8448440448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988691 (or 11988670 counting only the distinct ones).

The product of its (nonzero) digits is 268435456, while the sum is 64.

The spelling of 8448440448448 in words is "eight trillion, four hundred forty-eight billion, four hundred forty million, four hundred forty-eight thousand, four hundred forty-eight".