4584873216 has 576 divisors, whose sum is σ = 16350953472. Its totient is φ = 1105920000.

The previous prime is 4584873211. The next prime is 4584873217. The reversal of 4584873216 is 6123784854.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4584873211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75161826 + ... + 75161886.

It is an arithmetic number, because the mean of its divisors is an integer number (28387072).

Almost surely, 2^4584873216 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 4584873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175476736).

4584873216 is an abundant number, since it is smaller than the sum of its proper divisors (11766080256).

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

4584873216 is a wasteful number, since it uses less digits than its factorization.

4584873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 4584873216 is about 67711.6918707545. The cubic root of 4584873216 is about 1661.2784963754.

The spelling of 4584873216 in words is "four billion, five hundred eighty-four million, eight hundred seventy-three thousand, two hundred sixteen".