8484136128 has 224 divisors, whose sum is σ = 26972971200. Its totient is φ = 2599575552.

The previous prime is 8484136121. The next prime is 8484136147. The reversal of 8484136128 is 8216314848.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8484136121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6581308 + ... + 6582596.

It is an arithmetic number, because the mean of its divisors is an integer number (120415050).

Almost surely, 2^8484136128 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 8484136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13486485600).

8484136128 is an abundant number, since it is smaller than the sum of its proper divisors (18488835072).

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

8484136128 is a wasteful number, since it uses less digits than its factorization.

8484136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1600 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 8484136128 is about 92109.3704679388. The cubic root of 8484136128 is about 2039.5571356993.

The spelling of 8484136128 in words is "eight billion, four hundred eighty-four million, one hundred thirty-six thousand, one hundred twenty-eight".