112646825641 has 9 divisors (see below), whose sum is σ = 131040877149. Its totient is φ = 96552408204.

The previous prime is 112646825609. The next prime is 112646825659. The reversal of 112646825641 is 146528646211.

The square root of 112646825641 is 335629.

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

It is not a de Polignac number, because 112646825641 - 2⁵ = 112646825609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112646825591 and 112646825600.

It is not an unprimeable number, because it can be changed into a prime (112646825441) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2325430 + ... + 2373376.

It is an arithmetic number, because the mean of its divisors is an integer number (14560097461).

Almost surely, 2^112646825641 is an apocalyptic number.

112646825641 is the 335629-th square number.

112646825641 is the 167815-th centered octagonal number.

It is an amenable number.

112646825641 is a deficient number, since it is larger than the sum of its proper divisors (18394051508).

112646825641 is an frugal number, since it uses more digits than its factorization.

112646825641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95908 (or 47954 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 112646825641 in words is "one hundred twelve billion, six hundred forty-six million, eight hundred twenty-five thousand, six hundred forty-one".