8538133968 has 960 divisors, whose sum is σ = 34197811200. Its totient is φ = 2011806720.

The previous prime is 8538133963. The next prime is 8538133969. The reversal of 8538133968 is 8693318358.

It is a happy number.

8538133968 is a `hidden beast` number, since 8 + 538 + 13 + 3 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8538133963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120255373 + ... + 120255443.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^8538133968 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 8538133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17098905600).

8538133968 is an abundant number, since it is smaller than the sum of its proper divisors (25659677232).

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

8538133968 is a wasteful number, since it uses less digits than its factorization.

8538133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 8538133968 is about 92402.0236142045. The cubic root of 8538133968 is about 2043.8749532558.

The spelling of 8538133968 in words is "eight billion, five hundred thirty-eight million, one hundred thirty-three thousand, nine hundred sixty-eight".