4485366144 has 256 divisors, whose sum is σ = 15541209600. Its totient is φ = 1246648320.

The previous prime is 4485366143. The next prime is 4485366167. The reversal of 4485366144 is 4416635844.

4485366144 is a `hidden beast` number, since 448 + 5 + 3 + 66 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4485366144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485366143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892599 + ... + 897609.

It is an arithmetic number, because the mean of its divisors is an integer number (60707850).

Almost surely, 2^4485366144 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 4485366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770604800).

4485366144 is an abundant number, since it is smaller than the sum of its proper divisors (11055843456).

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

4485366144 is a wasteful number, since it uses less digits than its factorization.

4485366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5060 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4485366144 is about 66972.8761813318. The cubic root of 4485366144 is about 1649.1720540398.

The spelling of 4485366144 in words is "four billion, four hundred eighty-five million, three hundred sixty-six thousand, one hundred forty-four".