4457665168 has 60 divisors (see below), whose sum is σ = 9820738620. Its totient is φ = 1956317440.

The previous prime is 4457665159. The next prime is 4457665171. The reversal of 4457665168 is 8615667544.

It can be written as a sum of positive squares in 2 ways, for example, as 1613789584 + 2843875584 = 40172^2 + 53328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16446 + ... + 95842.

It is an arithmetic number, because the mean of its divisors is an integer number (163678977).

Almost surely, 2^4457665168 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 4457665168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910369310).

4457665168 is an abundant number, since it is smaller than the sum of its proper divisors (5363073452).

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

4457665168 is a wasteful number, since it uses less digits than its factorization.

4457665168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79456 (or 79439 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The square root of 4457665168 is about 66765.7484643136. The cubic root of 4457665168 is about 1645.7700244696.

The spelling of 4457665168 in words is "four billion, four hundred fifty-seven million, six hundred sixty-five thousand, one hundred sixty-eight".