4457286144 has 200 divisors, whose sum is σ = 13736942208. Its totient is φ = 1437419520.

The previous prime is 4457286143. The next prime is 4457286179. The reversal of 4457286144 is 4416827544.

4457286144 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 28 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4457286144.

It is not an unprimeable number, because it can be changed into a prime (4457286143) 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 19 ways as a sum of consecutive naturals, for example, 1283899 + ... + 1287365.

Almost surely, 2^4457286144 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 4457286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868471104).

4457286144 is an abundant number, since it is smaller than the sum of its proper divisors (9279656064).

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

4457286144 is an equidigital number, since it uses as much as digits as its factorization.

4457286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3503 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4457286144 is about 66762.9099425722. The cubic root of 4457286144 is about 1645.7233779260.

The spelling of 4457286144 in words is "four billion, four hundred fifty-seven million, two hundred eighty-six thousand, one hundred forty-four".