8938943225856 has 1008 divisors, whose sum is σ = 32007697248384. Its totient is φ = 2440576106496.

The previous prime is 8938943225789. The next prime is 8938943225867. The reversal of 8938943225856 is 6585223498398.

8938943225856 is a `hidden beast` number, since 8 + 9 + 3 + 8 + 9 + 4 + 32 + 2 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8653381116 + ... + 8653382148.

Almost surely, 2^{8938943225856} 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 8938943225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003848624192).

8938943225856 is an abundant number, since it is smaller than the sum of its proper divisors (23068754022528).

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

8938943225856 is an frugal number, since it uses more digits than its factorization.

8938943225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1068 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 8938943225856 in words is "eight trillion, nine hundred thirty-eight billion, nine hundred forty-three million, two hundred twenty-five thousand, eight hundred fifty-six".