8854138656 has 288 divisors, whose sum is σ = 28700904960. Its totient is φ = 2564812800.

The previous prime is 8854138649. The next prime is 8854138751. The reversal of 8854138656 is 6568314588.

8854138656 is a `hidden beast` number, since 8 + 8 + 541 + 38 + 65 + 6 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8740006 + ... + 8741018.

It is an arithmetic number, because the mean of its divisors is an integer number (99655920).

Almost surely, 2^8854138656 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 8854138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350452480).

8854138656 is an abundant number, since it is smaller than the sum of its proper divisors (19846766304).

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

8854138656 is a wasteful number, since it uses less digits than its factorization.

8854138656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 8854138656 is about 94096.4327485373. The cubic root of 8854138656 is about 2068.7853855985.

The spelling of 8854138656 in words is "eight billion, eight hundred fifty-four million, one hundred thirty-eight thousand, six hundred fifty-six".