81845600256 has 240 divisors, whose sum is σ = 277151150080. Its totient is φ = 23383572480.

The previous prime is 81845600197. The next prime is 81845600281. The reversal of 81845600256 is 65200654818.

81845600256 is a `hidden beast` number, since 8 + 1 + 84 + 560 + 0 + 2 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3083361 + ... + 3109791.

Almost surely, 2^81845600256 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 81845600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138575575040).

81845600256 is an abundant number, since it is smaller than the sum of its proper divisors (195305549824).

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

81845600256 is an equidigital number, since it uses as much as digits as its factorization.

81845600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26475 (or 26443 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 81845600256 in words is "eighty-one billion, eight hundred forty-five million, six hundred thousand, two hundred fifty-six".