4516225824 has 384 divisors, whose sum is σ = 14422302720. Its totient is φ = 1222041600.

The previous prime is 4516225711. The next prime is 4516225837. The reversal of 4516225824 is 4285226154.

Its product of digits (153600) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32965084 + ... + 32965220.

It is an arithmetic number, because the mean of its divisors is an integer number (37558080).

Almost surely, 2^4516225824 is an apocalyptic number.

4516225824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516225824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211151360).

4516225824 is an abundant number, since it is smaller than the sum of its proper divisors (9906076896).

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

4516225824 is a wasteful number, since it uses less digits than its factorization.

4516225824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 4516225824 is about 67202.8706529714. The cubic root of 4516225824 is about 1652.9455586996.

It can be divided in two parts, 451622 and 5824, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 4516225824 in words is "four billion, five hundred sixteen million, two hundred twenty-five thousand, eight hundred twenty-four".