8845398144 has 576 divisors, whose sum is σ = 30474662400. Its totient is φ = 2453299200.

The previous prime is 8845398103. The next prime is 8845398151. The reversal of 8845398144 is 4418935488.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99386452 + ... + 99386540.

It is an arithmetic number, because the mean of its divisors is an integer number (52907400).

Almost surely, 2^8845398144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8845398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237331200).

8845398144 is an abundant number, since it is smaller than the sum of its proper divisors (21629264256).

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

8845398144 is a wasteful number, since it uses less digits than its factorization.

8845398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 8845398144 is about 94049.9768421024. The cubic root of 8845398144 is about 2068.1044160346.

It can be divided in two parts, 88453981 and 44, that added together give a square (88454025 = 9405²).

The spelling of 8845398144 in words is "eight billion, eight hundred forty-five million, three hundred ninety-eight thousand, one hundred forty-four".