8465408045648 has 120 divisors (see below), whose sum is σ = 17402793524928. Its totient is φ = 3988142839296.

The previous prime is 8465408045639. The next prime is 8465408045681.

8465408045648 is nontrivially palindromic in base 10.

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, 510971861 + ... + 510988427.

Almost surely, 2^{8465408045648} 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 8465408045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701396762464).

8465408045648 is an abundant number, since it is smaller than the sum of its proper divisors (8937385479280).

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

8465408045648 is a wasteful number, since it uses less digits than its factorization.

8465408045648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521 (or 17492 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 62.

The spelling of 8465408045648 in words is "eight trillion, four hundred sixty-five billion, four hundred eight million, forty-five thousand, six hundred forty-eight".