8456509248 has 112 divisors (see below), whose sum is σ = 25068483264. Its totient is φ = 2493296640.

The previous prime is 8456509231. The next prime is 8456509261. The reversal of 8456509248 is 8429056548.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8456509248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24036 + ... + 132252.

Almost surely, 2^8456509248 is an apocalyptic number.

8456509248 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 8456509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534241632).

8456509248 is an abundant number, since it is smaller than the sum of its proper divisors (16611974016).

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

8456509248 is a wasteful number, since it uses less digits than its factorization.

8456509248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108280 (or 108270 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 8456509248 is about 91959.2803799595. The cubic root of 8456509248 is about 2037.3409261083.

The spelling of 8456509248 in words is "eight billion, four hundred fifty-six million, five hundred nine thousand, two hundred forty-eight".