8444114448 has 80 divisors (see below), whose sum is σ = 27196640256. Its totient is φ = 2193275520.

The previous prime is 8444114447. The next prime is 8444114449.

It is a happy number.

8444114448 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8444114447) and next prime (8444114449).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (8444114447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1138636 + ... + 1146027.

Almost surely, 2^8444114448 is an apocalyptic number.

8444114448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8444114448 is an abundant number, since it is smaller than the sum of its proper divisors (18752525808).

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

8444114448 is a wasteful number, since it uses less digits than its factorization.

8444114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284692 (or 2284686 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The square root of 8444114448 is about 91891.8627953531. The cubic root of 8444114448 is about 2036.3450549508.

It can be divided in two parts, 84441 and 14448, that added together give a palindrome (98889).

The spelling of 8444114448 in words is "eight billion, four hundred forty-four million, one hundred fourteen thousand, four hundred forty-eight".