81786848256 has 231 divisors, whose sum is σ = 245871411303. Its totient is φ = 27179919360.

The previous prime is 81786848233. The next prime is 81786848287. The reversal of 81786848256 is 65284868718.

The square root of 81786848256 is 285984.

It is a perfect power (a square), and thus also a powerful number.

81786848256 is a `hidden beast` number, since 81 + 78 + 6 + 8 + 482 + 5 + 6 = 666.

Its product of digits (41287680) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 81786848193 and 81786848202.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 247090011 + ... + 247090341.

Almost surely, 2^81786848256 is an apocalyptic number.

81786848256 is the 285984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81786848256

81786848256 is an abundant number, since it is smaller than the sum of its proper divisors (164084563047).

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

81786848256 is an frugal number, since it uses more digits than its factorization.

81786848256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 336 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 81786848256 in words is "eighty-one billion, seven hundred eighty-six million, eight hundred forty-eight thousand, two hundred fifty-six".