844245585542448 has 60 divisors (see below), whose sum is σ = 2426572240442688. Its totient is φ = 273809379093120.

The previous prime is 844245585542407. The next prime is 844245585542449.

844245585542448 is a `hidden beast` number, since 8 + 4 + 4 + 2 + 4 + 5 + 5 + 8 + 554 + 24 + 48 = 666.

844245585542448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (844245585542449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79227245568 + ... + 79227256223.

Almost surely, 2^{844245585542448} is an apocalyptic number.

It is an amenable number.

844245585542448 is an abundant number, since it is smaller than the sum of its proper divisors (1582326654900240).

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

844245585542448 is a wasteful number, since it uses less digits than its factorization.

844245585542448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158454501842 (or 158454501833 counting only the distinct ones).

The product of its digits is 5242880000, while the sum is 72.

The spelling of 844245585542448 in words is "eight hundred forty-four trillion, two hundred forty-five billion, five hundred eighty-five million, five hundred forty-two thousand, four hundred forty-eight".