4452984144 has 120 divisors (see below), whose sum is σ = 14256528000. Its totient is φ = 1271026944.

The previous prime is 4452984139. The next prime is 4452984209. The reversal of 4452984144 is 4414892544.

4452984144 is a `hidden beast` number, since 4 + 4 + 529 + 84 + 1 + 44 = 666.

It is a super-3 number, since 3×4452984144³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4452984144.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1618482 + ... + 1621230.

It is an arithmetic number, because the mean of its divisors is an integer number (118804400).

Almost surely, 2^4452984144 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 4452984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128264000).

4452984144 is an abundant number, since it is smaller than the sum of its proper divisors (9803543856).

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

4452984144 is a wasteful number, since it uses less digits than its factorization.

4452984144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4368 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4452984144 is about 66730.6836770012. The cubic root of 4452984144 is about 1645.1937446682.

The spelling of 4452984144 in words is "four billion, four hundred fifty-two million, nine hundred eighty-four thousand, one hundred forty-four".