8057353248 has 288 divisors, whose sum is σ = 27168261120. Its totient is φ = 2217093120.

The previous prime is 8057353229. The next prime is 8057353289. The reversal of 8057353248 is 8423537508.

8057353248 is a `hidden beast` number, since 8 + 0 + 5 + 73 + 532 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8057353248² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8130033 + ... + 8131023.

It is an arithmetic number, because the mean of its divisors is an integer number (94334240).

Almost surely, 2^8057353248 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 8057353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584130560).

8057353248 is an abundant number, since it is smaller than the sum of its proper divisors (19110907872).

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

8057353248 is a wasteful number, since it uses less digits than its factorization.

8057353248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 8057353248 is about 89762.7609201054. The cubic root of 8057353248 is about 2004.7680610968.

The spelling of 8057353248 in words is "eight billion, fifty-seven million, three hundred fifty-three thousand, two hundred forty-eight".