8259202848 has 384 divisors, whose sum is σ = 25513367040. Its totient is φ = 2319482880.

The previous prime is 8259202747. The next prime is 8259202849. The reversal of 8259202848 is 8482029528.

It is a happy number.

It is a super-2 number, since 2×8259202848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8259202797 and 8259202806.

It is not an unprimeable number, because it can be changed into a prime (8259202849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92799988 + ... + 92800076.

It is an arithmetic number, because the mean of its divisors is an integer number (66441060).

Almost surely, 2^8259202848 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 8259202848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756683520).

8259202848 is an abundant number, since it is smaller than the sum of its proper divisors (17254164192).

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

8259202848 is a wasteful number, since it uses less digits than its factorization.

8259202848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 8259202848 is about 90880.1565139497. The cubic root of 8259202848 is about 2021.3710627843.

The spelling of 8259202848 in words is "eight billion, two hundred fifty-nine million, two hundred two thousand, eight hundred forty-eight".