8638086816 has 144 divisors (see below), whose sum is σ = 25680642624. Its totient is φ = 2749012992.

The previous prime is 8638086811. The next prime is 8638086817. The reversal of 8638086816 is 6186808368.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-5 number, since 5×8638086816⁵ (a number of 51 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (8638086811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5212260 + ... + 5213916.

It is an arithmetic number, because the mean of its divisors is an integer number (178337796).

Almost surely, 2^8638086816 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 8638086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840321312).

8638086816 is an abundant number, since it is smaller than the sum of its proper divisors (17042555808).

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

8638086816 is a wasteful number, since it uses less digits than its factorization.

8638086816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8638086816 is about 92941.3084478586. The cubic root of 8638086816 is about 2051.8196665618.

The spelling of 8638086816 in words is "eight billion, six hundred thirty-eight million, eighty-six thousand, eight hundred sixteen".