8248067352 has 576 divisors, whose sum is σ = 29556334080. Its totient is φ = 2106238464.

The previous prime is 8248067341. The next prime is 8248067407. The reversal of 8248067352 is 2537608428.

8248067352 is a `hidden beast` number, since 82 + 480 + 67 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8248067298 and 8248067307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112987188 + ... + 112987260.

It is an arithmetic number, because the mean of its divisors is an integer number (51313080).

Almost surely, 2^8248067352 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 8248067352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778167040).

8248067352 is an abundant number, since it is smaller than the sum of its proper divisors (21308266728).

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

8248067352 is a wasteful number, since it uses less digits than its factorization.

8248067352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8248067352 is about 90818.8711226912. The cubic root of 8248067352 is about 2020.4622142625.

The spelling of 8248067352 in words is "eight billion, two hundred forty-eight million, sixty-seven thousand, three hundred fifty-two".