4515861168 has 360 divisors, whose sum is σ = 15988783200. Its totient is φ = 1188794880.

The previous prime is 4515861139. The next prime is 4515861169. The reversal of 4515861168 is 8611685154.

4515861168 is a `hidden beast` number, since 4 + 5 + 1 + 586 + 1 + 1 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (4515861169) 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 71 ways as a sum of consecutive naturals, for example, 8346978 + ... + 8347518.

Almost surely, 2^4515861168 is an apocalyptic number.

4515861168 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 4515861168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994391600).

4515861168 is an abundant number, since it is smaller than the sum of its proper divisors (11472922032).

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

4515861168 is a wasteful number, since it uses less digits than its factorization.

4515861168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 566 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 4515861168 is about 67200.1574998154. The cubic root of 4515861168 is about 1652.9010692843.

The spelling of 4515861168 in words is "four billion, five hundred fifteen million, eight hundred sixty-one thousand, one hundred sixty-eight".