12810617856 has 231 divisors, whose sum is σ = 38690856703. Its totient is φ = 4237608960.

The previous prime is 12810617851. The next prime is 12810617867. The reversal of 12810617856 is 65871601821.

The square root of 12810617856 is 113184.

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

12810617856 is a `hidden beast` number, since 1 + 28 + 1 + 0 + 617 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×12810617856² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12810617851) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 97790911 + ... + 97791041.

Almost surely, 2^12810617856 is an apocalyptic number.

12810617856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12810617856 is the 113184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12810617856

12810617856 is an abundant number, since it is smaller than the sum of its proper divisors (25880238847).

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

12810617856 is an frugal number, since it uses more digits than its factorization.

12810617856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12810617856 in words is "twelve billion, eight hundred ten million, six hundred seventeen thousand, eight hundred fifty-six".