8144444418 has 48 divisors (see below), whose sum is σ = 18023130048. Its totient is φ = 2451636000.

The previous prime is 8144444393. The next prime is 8144444443.

It is a happy number.

8144444418 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8144444393) and next prime (8144444443).

It is a self number, because there is not a number n which added to its sum of digits gives 8144444418.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72480 + ... + 146772.

It is an arithmetic number, because the mean of its divisors is an integer number (375481876).

Almost surely, 2^8144444418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144444418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011565024).

8144444418 is an abundant number, since it is smaller than the sum of its proper divisors (9878685630).

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

8144444418 is a wasteful number, since it uses less digits than its factorization.

8144444418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74471 (or 74460 counting only the distinct ones).

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

The square root of 8144444418 is about 90246.5756580270. The cubic root of 8144444418 is about 2011.9653077835.

The spelling of 8144444418 in words is "eight billion, one hundred forty-four million, four hundred forty-four thousand, four hundred eighteen".