8916100448256 has 325 divisors, whose sum is σ = 26748283770391. Its totient is φ = 2972033482752.

The previous prime is 8916100448237. The next prime is 8916100448291. The reversal of 8916100448256 is 6528440016198.

The square root of 8916100448256 is 2985984.

The cubic root of 8916100448256 is 20736.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 12-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁶ ⋅ (3!)⁶.

8916100448256 is a `hidden beast` number, since 8 + 9 + 1 + 6 + 100 + 4 + 482 + 56 = 666.

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 2972033482751 + 2972033482752 + 2972033482753.

Almost surely, 2^{8916100448256} is an apocalyptic number.

8916100448256 is the 2985984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8916100448256

8916100448256 is an abundant number, since it is smaller than the sum of its proper divisors (17832183322135).

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

8916100448256 is an frugal number, since it uses more digits than its factorization.

8916100448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

Multiplying 8916100448256 by its sum of digits (54), we get a 5-th power (481469424205824 = 864⁵).

The spelling of 8916100448256 in words is "eight trillion, nine hundred sixteen billion, one hundred million, four hundred forty-eight thousand, two hundred fifty-six".