112814647787776 has 243 divisors, whose sum is σ = 256474151518039. Its totient is φ = 49487338700800.

The previous prime is 112814647787749. The next prime is 112814647787843. The reversal of 112814647787776 is 677787746418211.

The square root of 112814647787776 is 10621424.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1077909074176 + 111736738713600 = 1038224^2 + 10570560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54211747056 + ... + 54211749136.

Almost surely, 2^{112814647787776} is an apocalyptic number.

112814647787776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112814647787776 is the 10621424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112814647787776

112814647787776 is an abundant number, since it is smaller than the sum of its proper divisors (143659503730263).

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

112814647787776 is an frugal number, since it uses more digits than its factorization.

112814647787776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 2123 counting only the distinct ones).

The product of its digits is 1239146496, while the sum is 76.

The spelling of 112814647787776 in words is "one hundred twelve trillion, eight hundred fourteen billion, six hundred forty-seven million, seven hundred eighty-seven thousand, seven hundred seventy-six".