8252248896 has 168 divisors, whose sum is σ = 24626949984. Its totient is φ = 2739847680.

The previous prime is 8252248717. The next prime is 8252248933. The reversal of 8252248896 is 6988422528.

It is a happy number.

It is a super-2 number, since 2×8252248896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4555831 + ... + 4557641.

It is an arithmetic number, because the mean of its divisors is an integer number (146588988).

Almost surely, 2^8252248896 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 8252248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313474992).

8252248896 is an abundant number, since it is smaller than the sum of its proper divisors (16374701088).

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

8252248896 is a wasteful number, since it uses less digits than its factorization.

8252248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2109 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 8252248896 is about 90841.8895444167. The cubic root of 8252248896 is about 2020.8035962270.

The spelling of 8252248896 in words is "eight billion, two hundred fifty-two million, two hundred forty-eight thousand, eight hundred ninety-six".