8425665248 has 288 divisors, whose sum is σ = 23130061920. Its totient is φ = 2968842240.

The previous prime is 8425665223. The next prime is 8425665257.

8425665248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8425665196 and 8425665205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11883518 + ... + 11884226.

It is an arithmetic number, because the mean of its divisors is an integer number (80312715).

Almost surely, 2^8425665248 is an apocalyptic number.

8425665248 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 8425665248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565030960).

8425665248 is an abundant number, since it is smaller than the sum of its proper divisors (14704396672).

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

8425665248 is a wasteful number, since it uses less digits than its factorization.

8425665248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The square root of 8425665248 is about 91791.4225186646. The cubic root of 8425665248 is about 2034.8609312407.

The spelling of 8425665248 in words is "eight billion, four hundred twenty-five million, six hundred sixty-five thousand, two hundred forty-eight".