4589073216 has 336 divisors, whose sum is σ = 16753027200. Its totient is φ = 1168183296.

The previous prime is 4589073199. The next prime is 4589073217. The reversal of 4589073216 is 6123709854.

4589073216 = 96³ + 97³ + ... + 368³.

4589073216 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

4589073216 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4589073217) by changing a digit.

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, 1518555 + ... + 1521573.

It is an arithmetic number, because the mean of its divisors is an integer number (49860200).

It is a 1-persistent number, because it is pandigital, but 2⋅4589073216 = 9178146432 is not.

Almost surely, 2^4589073216 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 4589073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376513600).

4589073216 is an abundant number, since it is smaller than the sum of its proper divisors (12163953984).

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

4589073216 is a wasteful number, since it uses less digits than its factorization.

4589073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4589073216 is about 67742.6986176370. The cubic root of 4589073216 is about 1661.7856161936.

The spelling of 4589073216 in words is "four billion, five hundred eighty-nine million, seventy-three thousand, two hundred sixteen".