8123744256 has 128 divisors (see below), whose sum is σ = 22611147840. Its totient is φ = 2589458432.

The previous prime is 8123744231. The next prime is 8123744257. The reversal of 8123744256 is 6524473218.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8123744257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2259196 + ... + 2262788.

Almost surely, 2^8123744256 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 8123744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11305573920).

8123744256 is an abundant number, since it is smaller than the sum of its proper divisors (14487403584).

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

8123744256 is an equidigital number, since it uses as much as digits as its factorization.

8123744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3621 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 8123744256 is about 90131.8160030075. The cubic root of 8123744256 is about 2010.2593046816.

The spelling of 8123744256 in words is "eight billion, one hundred twenty-three million, seven hundred forty-four thousand, two hundred fifty-six".