844755949557448 has 128 divisors (see below), whose sum is σ = 1813674804019200. Its totient is φ = 366735704544000.

The previous prime is 844755949557439. The next prime is 844755949557461.

844755949557448 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×844755949557448² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27641536 + ... + 49533487.

It is an arithmetic number, because the mean of its divisors is an integer number (14169334406400).

Almost surely, 2^{844755949557448} is an apocalyptic number.

It is an amenable number.

844755949557448 is an abundant number, since it is smaller than the sum of its proper divisors (968918854461752).

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

844755949557448 is a wasteful number, since it uses less digits than its factorization.

844755949557448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77175203 (or 77175199 counting only the distinct ones).

The product of its digits is 162570240000, while the sum is 88.

The spelling of 844755949557448 in words is "eight hundred forty-four trillion, seven hundred fifty-five billion, nine hundred forty-nine million, five hundred fifty-seven thousand, four hundred forty-eight".