8648405328384 has 120 divisors (see below), whose sum is σ = 24962379662220. Its totient is φ = 2882513461248.

The previous prime is 8648405328317. The next prime is 8648405328389. The reversal of 8648405328384 is 4838235048468.

8648405328384 is a `hidden beast` number, since 8 + 6 + 48 + 405 + 32 + 83 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7542273542400 + 1106131785984 = 2746320^2 + 1051728^2 .

It is not an unprimeable number, because it can be changed into a prime (8648405328389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48742422 + ... + 48919530.

Almost surely, 2^{8648405328384} 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 8648405328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481189831110).

8648405328384 is an abundant number, since it is smaller than the sum of its proper divisors (16313974333836).

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

8648405328384 is a wasteful number, since it uses less digits than its factorization.

8648405328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187730 (or 187711 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 8648405328384 in words is "eight trillion, six hundred forty-eight billion, four hundred five million, three hundred twenty-eight thousand, three hundred eighty-four".