8946012288 has 256 divisors, whose sum is σ = 26438400000. Its totient is φ = 2667405312.

The previous prime is 8946012287. The next prime is 8946012301. The reversal of 8946012288 is 8822106498.

It is a super-2 number, since 2×8946012288² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8946012287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14934613 + ... + 14935211.

It is an arithmetic number, because the mean of its divisors is an integer number (103275000).

Almost surely, 2^8946012288 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 8946012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200000).

8946012288 is an abundant number, since it is smaller than the sum of its proper divisors (17492387712).

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

8946012288 is a wasteful number, since it uses less digits than its factorization.

8946012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 8946012288 is about 94583.3615811999. The cubic root of 8946012288 is about 2075.9162576992.

The spelling of 8946012288 in words is "eight billion, nine hundred forty-six million, twelve thousand, two hundred eighty-eight".