8642588852468 has 96 divisors (see below), whose sum is σ = 16319213890560. Its totient is φ = 3995770521600.

The previous prime is 8642588852467. The next prime is 8642588852473.

8642588852468 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8642588852395 and 8642588852404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8642588852467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72627818 + ... + 72746718.

It is an arithmetic number, because the mean of its divisors is an integer number (169991811360).

Almost surely, 2^{8642588852468} is an apocalyptic number.

It is an amenable number.

8642588852468 is a deficient number, since it is larger than the sum of its proper divisors (7676625038092).

8642588852468 is a wasteful number, since it uses less digits than its factorization.

8642588852468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119217 (or 119215 counting only the distinct ones).

The product of its digits is 1887436800, while the sum is 74.

The spelling of 8642588852468 in words is "eight trillion, six hundred forty-two billion, five hundred eighty-eight million, eight hundred fifty-two thousand, four hundred sixty-eight".