8465995648 has 128 divisors (see below), whose sum is σ = 19775923200. Its totient is φ = 3567083520.

The previous prime is 8465995633. The next prime is 8465995667.

8465995648 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8465995648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601073 + ... + 1606351.

It is an arithmetic number, because the mean of its divisors is an integer number (154499400).

Almost surely, 2^8465995648 is an apocalyptic number.

8465995648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8465995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887961600).

8465995648 is an abundant number, since it is smaller than the sum of its proper divisors (11309927552).

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

8465995648 is a wasteful number, since it uses less digits than its factorization.

8465995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5376 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 64.

The square root of 8465995648 is about 92010.8452738045. The cubic root of 8465995648 is about 2038.1024621022.

The spelling of 8465995648 in words is "eight billion, four hundred sixty-five million, nine hundred ninety-five thousand, six hundred forty-eight".