8638558558368 has 192 divisors, whose sum is σ = 23349188822400. Its totient is φ = 2795365253120.

The previous prime is 8638558558303. The next prime is 8638558558381.

8638558558368 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8638558558293 and 8638558558302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413852380 + ... + 413873252.

It is an arithmetic number, because the mean of its divisors is an integer number (121610358450).

Almost surely, 2^{8638558558368} 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 8638558558368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674594411200).

8638558558368 is an abundant number, since it is smaller than the sum of its proper divisors (14710630264032).

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

8638558558368 is a wasteful number, since it uses less digits than its factorization.

8638558558368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21855 (or 21847 counting only the distinct ones).

The product of its digits is 6635520000, while the sum is 78.

The spelling of 8638558558368 in words is "eight trillion, six hundred thirty-eight billion, five hundred fifty-eight million, five hundred fifty-eight thousand, three hundred sixty-eight".