4517117952 has 120 divisors (see below), whose sum is σ = 12464566800. Its totient is φ = 1453326336.

The previous prime is 4517117851. The next prime is 4517117963. The reversal of 4517117952 is 2597117154.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1423824 + ... + 1426992.

It is an arithmetic number, because the mean of its divisors is an integer number (103871390).

Almost surely, 2^4517117952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4517117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232283400).

4517117952 is an abundant number, since it is smaller than the sum of its proper divisors (7947448848).

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

4517117952 is an equidigital number, since it uses as much as digits as its factorization.

4517117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3203 counting only the distinct ones).

The product of its digits is 88200, while the sum is 42.

The square root of 4517117952 is about 67209.5078988085. The cubic root of 4517117952 is about 1653.0543916045.

The spelling of 4517117952 in words is "four billion, five hundred seventeen million, one hundred seventeen thousand, nine hundred fifty-two".