4516516368 has 160 divisors (see below), whose sum is σ = 15955923200. Its totient is φ = 1191158784.

The previous prime is 4516516337. The next prime is 4516516369. The reversal of 4516516368 is 8636156154.

4516516368 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 5 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×4516516368² = 40797840204823822848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4516516369) 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, 18133 + ... + 96756.

It is an arithmetic number, because the mean of its divisors is an integer number (99724520).

Almost surely, 2^4516516368 is an apocalyptic number.

4516516368 is a gapful number since it is divisible by the number (48) 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 4516516368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977961600).

4516516368 is an abundant number, since it is smaller than the sum of its proper divisors (11439406832).

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

4516516368 is a wasteful number, since it uses less digits than its factorization.

4516516368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114926 (or 114914 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 4516516368 is about 67205.0323115762. The cubic root of 4516516368 is about 1652.9810044556.

The spelling of 4516516368 in words is "four billion, five hundred sixteen million, five hundred sixteen thousand, three hundred sixty-eight".