4518353664 has 504 divisors, whose sum is σ = 15442043904. Its totient is φ = 1306368000.

The previous prime is 4518353663. The next prime is 4518353669. The reversal of 4518353664 is 4663538154.

4518353664 is a `hidden beast` number, since 4 + 51 + 8 + 3 + 536 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4518353663) 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 55 ways as a sum of consecutive naturals, for example, 63638749 + ... + 63638819.

It is an arithmetic number, because the mean of its divisors is an integer number (30638976).

Almost surely, 2^4518353664 is an apocalyptic number.

4518353664 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 4518353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721021952).

4518353664 is an abundant number, since it is smaller than the sum of its proper divisors (10923690240).

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

4518353664 is an equidigital number, since it uses as much as digits as its factorization.

4518353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 4518353664 is about 67218.7002552117. The cubic root of 4518353664 is about 1653.2051155049.

The spelling of 4518353664 in words is "four billion, five hundred eighteen million, three hundred fifty-three thousand, six hundred sixty-four".