4516123360 has 96 divisors (see below), whose sum is σ = 12214444032. Its totient is φ = 1545730560.

The previous prime is 4516123303. The next prime is 4516123363. The reversal of 4516123360 is 633216154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516123363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717025 + ... + 723295.

It is an arithmetic number, because the mean of its divisors is an integer number (127233792).

Almost surely, 2^4516123360 is an apocalyptic number.

4516123360 is a gapful number since it is divisible by the number (40) 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 4516123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107222016).

4516123360 is an abundant number, since it is smaller than the sum of its proper divisors (7698320672).

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

4516123360 is a wasteful number, since it uses less digits than its factorization.

4516123360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 4516123360 is about 67202.1083002609. The cubic root of 4516123360 is about 1652.9330579448.

The spelling of 4516123360 in words is "four billion, five hundred sixteen million, one hundred twenty-three thousand, three hundred sixty".