8268411312 has 840 divisors, whose sum is σ = 31704729696. Its totient is φ = 2069286912.

The previous prime is 8268411311. The next prime is 8268411313. The reversal of 8268411312 is 2131148628.

It is an interprime number because it is at equal distance from previous prime (8268411311) and next prime (8268411313).

It is a super-2 number, since 2×8268411312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8268411311) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 223470558 + ... + 223470594.

Almost surely, 2^8268411312 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 8268411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852364848).

8268411312 is an abundant number, since it is smaller than the sum of its proper divisors (23436318384).

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

8268411312 is a wasteful number, since it uses less digits than its factorization.

8268411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8268411312 is about 90930.8050772674. The cubic root of 8268411312 is about 2022.1220153720.

The spelling of 8268411312 in words is "eight billion, two hundred sixty-eight million, four hundred eleven thousand, three hundred twelve".