8444428244448 has 96 divisors (see below), whose sum is σ = 25409821006080. Its totient is φ = 2405404615680.

The previous prime is 8444428244443. The next prime is 8444428244501.

8444428244448 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8444428244448² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8444428244391 and 8444428244400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444428244443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18759613 + ... + 19204476.

It is an arithmetic number, because the mean of its divisors is an integer number (264685635480).

Almost surely, 2^{8444428244448} is an apocalyptic number.

It is an amenable number.

8444428244448 is an abundant number, since it is smaller than the sum of its proper divisors (16965392761632).

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

8444428244448 is a wasteful number, since it uses less digits than its factorization.

8444428244448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37964440 (or 37964432 counting only the distinct ones).

The product of its digits is 134217728, while the sum is 60.

The spelling of 8444428244448 in words is "eight trillion, four hundred forty-four billion, four hundred twenty-eight million, two hundred forty-four thousand, four hundred forty-eight".