8288409551648 has 54 divisors (see below), whose sum is σ = 16726856309667. Its totient is φ = 4042800893440.

The previous prime is 8288409551579. The next prime is 8288409551657. The reversal of 8288409551648 is 8461559048828.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1910389264 + 8286499162384 = 43708^2 + 2878628^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2035732.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 667713890 + ... + 667726302.

Almost surely, 2^{8288409551648} 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 8288409551648

8288409551648 is an abundant number, since it is smaller than the sum of its proper divisors (8438446758019).

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

8288409551648 is an frugal number, since it uses more digits than its factorization.

8288409551648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24918 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 68.

The spelling of 8288409551648 in words is "eight trillion, two hundred eighty-eight billion, four hundred nine million, five hundred fifty-one thousand, six hundred forty-eight".