4506885807168 has 112 divisors (see below), whose sum is σ = 12166043573376. Its totient is φ = 1472047964160.

The previous prime is 4506885807121. The next prime is 4506885807181. The reversal of 4506885807168 is 8617085886054.

It is a junction number, because it is equal to n+sod(n) for n = 4506885807099 and 4506885807108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2348680 + ... + 3811832.

It is an arithmetic number, because the mean of its divisors is an integer number (108625389048).

Almost surely, 2^{4506885807168} is an apocalyptic number.

4506885807168 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 4506885807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083021786688).

4506885807168 is an abundant number, since it is smaller than the sum of its proper divisors (7659157766208).

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

4506885807168 is a wasteful number, since it uses less digits than its factorization.

4506885807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463492 (or 1463482 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 66.

The spelling of 4506885807168 in words is "four trillion, five hundred six billion, eight hundred eighty-five million, eight hundred seven thousand, one hundred sixty-eight".