4516416576 has 224 divisors, whose sum is σ = 15425480960. Its totient is φ = 1269043200.

The previous prime is 4516416557. The next prime is 4516416577. The reversal of 4516416576 is 6756146154.

4516416576 is a `hidden beast` number, since 4 + 5 + 1 + 64 + 16 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4516416577) 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 31 ways as a sum of consecutive naturals, for example, 734796 + ... + 740916.

Almost surely, 2^4516416576 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 4516416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712740480).

4516416576 is an abundant number, since it is smaller than the sum of its proper divisors (10909064384).

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

4516416576 is a wasteful number, since it uses less digits than its factorization.

4516416576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210 (or 6194 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 4516416576 is about 67204.2898630735. The cubic root of 4516416576 is about 1652.9688302132.

The spelling of 4516416576 in words is "four billion, five hundred sixteen million, four hundred sixteen thousand, five hundred seventy-six".