8944541945856 has 832 divisors, whose sum is σ = 29959779041280. Its totient is φ = 2646179020800.

The previous prime is 8944541945809. The next prime is 8944541945869. The reversal of 8944541945856 is 6585491454498.

8944541945856 is a `hidden beast` number, since 8 + 9 + 4 + 454 + 1 + 94 + 5 + 85 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4237110241 + ... + 4237112351.

Almost surely, 2^{8944541945856} is an apocalyptic number.

8944541945856 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8944541945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979889520640).

8944541945856 is an abundant number, since it is smaller than the sum of its proper divisors (21015237095424).

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

8944541945856 is an equidigital number, since it uses as much as digits as its factorization.

8944541945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2170 counting only the distinct ones).

The product of its digits is 995328000, while the sum is 72.

The spelling of 8944541945856 in words is "eight trillion, nine hundred forty-four billion, five hundred forty-one million, nine hundred forty-five thousand, eight hundred fifty-six".