8638522468128 has 288 divisors, whose sum is σ = 28408793527296. Its totient is φ = 2438925479424.

The previous prime is 8638522468123. The next prime is 8638522468141. The reversal of 8638522468128 is 8218642258368.

It is a happy number.

8638522468128 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 522 + 4 + 6 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (8638522468123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96927075 + ... + 97016157.

It is an arithmetic number, because the mean of its divisors is an integer number (98641644192).

Almost surely, 2^{8638522468128} 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 8638522468128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204396763648).

8638522468128 is an abundant number, since it is smaller than the sum of its proper divisors (19770271059168).

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

8638522468128 is a wasteful number, since it uses less digits than its factorization.

8638522468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89676 (or 89665 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 8638522468128 in words is "eight trillion, six hundred thirty-eight billion, five hundred twenty-two million, four hundred sixty-eight thousand, one hundred twenty-eight".