4522165648 has 240 divisors, whose sum is σ = 12509449344. Its totient is φ = 1529118720.

The previous prime is 4522165619. The next prime is 4522165657. The reversal of 4522165648 is 8465612254.

It is a super-3 number, since 3×4522165648³ (a number of 30 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4628136 + ... + 4629112.

Almost surely, 2^4522165648 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 4522165648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254724672).

4522165648 is an abundant number, since it is smaller than the sum of its proper divisors (7987283696).

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

4522165648 is a wasteful number, since it uses less digits than its factorization.

4522165648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1027 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The square root of 4522165648 is about 67247.0493627787. The cubic root of 4522165648 is about 1653.6699027915.

The spelling of 4522165648 in words is "four billion, five hundred twenty-two million, one hundred sixty-five thousand, six hundred forty-eight".