8241117752 has 64 divisors (see below), whose sum is σ = 18338443200. Its totient is φ = 3398492160.

The previous prime is 8241117749. The next prime is 8241117809. The reversal of 8241117752 is 2577111428.

It is a congruent number.

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, 143024 + ... + 192192.

It is an arithmetic number, because the mean of its divisors is an integer number (286538175).

Almost surely, 2^8241117752 is an apocalyptic number.

8241117752 is a gapful number since it is divisible by the number (82) 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 8241117752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169221600).

8241117752 is an abundant number, since it is smaller than the sum of its proper divisors (10097325448).

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

8241117752 is a wasteful number, since it uses less digits than its factorization.

8241117752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49296 (or 49292 counting only the distinct ones).

The product of its digits is 31360, while the sum is 38.

The square root of 8241117752 is about 90780.6022892556. The cubic root of 8241117752 is about 2019.8945924150.

The spelling of 8241117752 in words is "eight billion, two hundred forty-one million, one hundred seventeen thousand, seven hundred fifty-two".