4506748416 has 320 divisors, whose sum is σ = 14330511360. Its totient is φ = 1393459200.

The previous prime is 4506748403. The next prime is 4506748439. The reversal of 4506748416 is 6148476054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29845941 + ... + 29846091.

It is an arithmetic number, because the mean of its divisors is an integer number (44782848).

Almost surely, 2^4506748416 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 4506748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165255680).

4506748416 is an abundant number, since it is smaller than the sum of its proper divisors (9823762944).

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

4506748416 is a wasteful number, since it uses less digits than its factorization.

4506748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4506748416 is about 67132.3202042057. The cubic root of 4506748416 is about 1651.7885003426.

The spelling of 4506748416 in words is "four billion, five hundred six million, seven hundred forty-eight thousand, four hundred sixteen".