4517648128 has 144 divisors (see below), whose sum is σ = 10567839744. Its totient is φ = 1887621120.

The previous prime is 4517648087. The next prime is 4517648147. The reversal of 4517648128 is 8218467154.

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 15 ways as a sum of consecutive naturals, for example, 22932126 + ... + 22932322.

It is an arithmetic number, because the mean of its divisors is an integer number (73387776).

Almost surely, 2^4517648128 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 4517648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283919872).

4517648128 is an abundant number, since it is smaller than the sum of its proper divisors (6050191616).

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

4517648128 is a wasteful number, since it uses less digits than its factorization.

4517648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The square root of 4517648128 is about 67213.4519869349. The cubic root of 4517648128 is about 1653.1190623000.

The spelling of 4517648128 in words is "four billion, five hundred seventeen million, six hundred forty-eight thousand, one hundred twenty-eight".