4454884544 has 112 divisors (see below), whose sum is σ = 10258690176. Its totient is φ = 1896960000.

The previous prime is 4454884523. The next prime is 4454884549.

4454884544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4454884492 and 4454884501.

It is not an unprimeable number, because it can be changed into a prime (4454884549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003227 + ... + 3004709.

It is an arithmetic number, because the mean of its divisors is an integer number (91595448).

Almost surely, 2^4454884544 is an apocalyptic number.

4454884544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454884544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129345088).

4454884544 is an abundant number, since it is smaller than the sum of its proper divisors (5803805632).

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

4454884544 is a wasteful number, since it uses less digits than its factorization.

4454884544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 50.

The square root of 4454884544 is about 66744.9214847092. The cubic root of 4454884544 is about 1645.4277511552.

The spelling of 4454884544 in words is "four billion, four hundred fifty-four million, eight hundred eighty-four thousand, five hundred forty-four".