4540359168 has 120 divisors (see below), whose sum is σ = 13793722800. Its totient is φ = 1433769984.

The previous prime is 4540359163. The next prime is 4540359227. The reversal of 4540359168 is 8619530454.

4540359168 is a `hidden beast` number, since 4 + 54 + 0 + 3 + 591 + 6 + 8 = 666.

It is a super-2 number, since 2×4540359168² = 41229722748883304448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4540359163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61623 + ... + 113481.

It is an arithmetic number, because the mean of its divisors is an integer number (114947690).

Almost surely, 2^4540359168 is an apocalyptic number.

4540359168 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 4540359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896861400).

4540359168 is an abundant number, since it is smaller than the sum of its proper divisors (9253363632).

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

4540359168 is a wasteful number, since it uses less digits than its factorization.

4540359168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51902 (or 51883 counting only the distinct ones).

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

The square root of 4540359168 is about 67382.1873197954. The cubic root of 4540359168 is about 1655.8846100373.

It can be divided in two parts, 454035 and 9168, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 4540359168 in words is "four billion, five hundred forty million, three hundred fifty-nine thousand, one hundred sixty-eight".