6144444416 has 96 divisors (see below), whose sum is σ = 13461215040. Its totient is φ = 2780774400.

The previous prime is 6144444407. The next prime is 6144444421.

6144444416 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6144444416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7005770 + ... + 7006646.

It is an arithmetic number, because the mean of its divisors is an integer number (140220990).

Almost surely, 2^6144444416 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 6144444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730607520).

6144444416 is an abundant number, since it is smaller than the sum of its proper divisors (7316770624).

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

6144444416 is a wasteful number, since it uses less digits than its factorization.

6144444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1201 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 6144444416 is about 78386.5065939285. The cubic root of 6144444416 is about 1831.5869475523.

The spelling of 6144444416 in words is "six billion, one hundred forty-four million, four hundred forty-four thousand, four hundred sixteen".