8242144752 has 80 divisors (see below), whose sum is σ = 22274244000. Its totient is φ = 2622799872.

The previous prime is 8242144741. The next prime is 8242144793. The reversal of 8242144752 is 2574412428.

It is a super-2 number, since 2×8242144752² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8242144752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90624 + ... + 157152.

It is an arithmetic number, because the mean of its divisors is an integer number (278428050).

Almost surely, 2^8242144752 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 8242144752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137122000).

8242144752 is an abundant number, since it is smaller than the sum of its proper divisors (14032099248).

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

8242144752 is a wasteful number, since it uses less digits than its factorization.

8242144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66658 (or 66652 counting only the distinct ones).

The product of its digits is 143360, while the sum is 39.

The square root of 8242144752 is about 90786.2586077871. The cubic root of 8242144752 is about 2019.9784946898.

The spelling of 8242144752 in words is "eight billion, two hundred forty-two million, one hundred forty-four thousand, seven hundred fifty-two".