8638663258134 has 384 divisors, whose sum is σ = 25402256732160. Its totient is φ = 2153547648000.

The previous prime is 8638663258079. The next prime is 8638663258151. The reversal of 8638663258134 is 4318523668368.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45758334 + ... + 45946734.

It is an arithmetic number, because the mean of its divisors is an integer number (66151710240).

Almost surely, 2^{8638663258134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8638663258134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12701128366080).

8638663258134 is an abundant number, since it is smaller than the sum of its proper divisors (16763593474026).

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

8638663258134 is a wasteful number, since it uses less digits than its factorization.

8638663258134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188513 (or 188500 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 8638663258134 in words is "eight trillion, six hundred thirty-eight billion, six hundred sixty-three million, two hundred fifty-eight thousand, one hundred thirty-four".