8425225248 has 96 divisors (see below), whose sum is σ = 24213494592. Its totient is φ = 2543923200.

The previous prime is 8425225247. The next prime is 8425225301.

It is a happy number.

8425225248 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8425225247) 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 15 ways as a sum of consecutive naturals, for example, 282540 + ... + 310932.

It is an arithmetic number, because the mean of its divisors is an integer number (252223902).

Almost surely, 2^8425225248 is an apocalyptic number.

8425225248 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 8425225248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106747296).

8425225248 is an abundant number, since it is smaller than the sum of its proper divisors (15788269344).

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

8425225248 is a wasteful number, since it uses less digits than its factorization.

8425225248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28698 (or 28690 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The square root of 8425225248 is about 91789.0257492692. The cubic root of 8425225248 is about 2034.8255095313.

The spelling of 8425225248 in words is "eight billion, four hundred twenty-five million, two hundred twenty-five thousand, two hundred forty-eight".