8448438096 has 180 divisors, whose sum is σ = 27608477364. Its totient is φ = 2404684800.

The previous prime is 8448438073. The next prime is 8448438121. The reversal of 8448438096 is 6908348448.

8448438096 is a `hidden beast` number, since 84 + 48 + 438 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7197825600 + 1250612496 = 84840^2 + 35364^2 .

It is a super-2 number, since 2×8448438096² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1980606 + ... + 1984866.

Almost surely, 2^8448438096 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 8448438096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804238682).

8448438096 is an abundant number, since it is smaller than the sum of its proper divisors (19160039268).

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

8448438096 is a wasteful number, since it uses less digits than its factorization.

8448438096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 8448438096 is about 91915.3855238610. The cubic root of 8448438096 is about 2036.6925528833.

The spelling of 8448438096 in words is "eight billion, four hundred forty-eight million, four hundred thirty-eight thousand, ninety-six".