8426446248 has 128 divisors (see below), whose sum is σ = 23846400000. Its totient is φ = 2457880320.

The previous prime is 8426446247. The next prime is 8426446271.

8426446248 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 8426446197 and 8426446206.

It is not an unprimeable number, because it can be changed into a prime (8426446247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2808253 + ... + 2811251.

It is an arithmetic number, because the mean of its divisors is an integer number (186300000).

Almost surely, 2^8426446248 is an apocalyptic number.

8426446248 is a gapful number since it is divisible by the number (88) 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 8426446248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923200000).

8426446248 is an abundant number, since it is smaller than the sum of its proper divisors (15419953752).

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

8426446248 is a wasteful number, since it uses less digits than its factorization.

8426446248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3411 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 8426446248 is about 91795.6766302204. The cubic root of 8426446248 is about 2034.9238017377.

The spelling of 8426446248 in words is "eight billion, four hundred twenty-six million, four hundred forty-six thousand, two hundred forty-eight".