112065957826641 has 243 divisors, whose sum is σ = 216694895924403. Its totient is φ = 55610163947520.

The previous prime is 112065957826639. The next prime is 112065957826661. The reversal of 112065957826641 is 146628759560211.

It is a happy number.

The square root of 112065957826641 is 10586121.

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

112065957826641 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 59 + 578 + 2 + 6 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 55248433519041 + 56817524307600 = 7432929^2 + 7537740^2 .

It is not a de Polignac number, because 112065957826641 - 2¹ = 112065957826639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (112065957826601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 49130186421 + ... + 49130188701.

Almost surely, 2^{112065957826641} is an apocalyptic number.

112065957826641 is the 10586121-st square number.

112065957826641 is the 5293061-st centered octagonal number.

It is an amenable number.

112065957826641 is a deficient number, since it is larger than the sum of its proper divisors (104628938097762).

112065957826641 is an equidigital number, since it uses as much as digits as its factorization.

112065957826641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 112065957826641 in words is "one hundred twelve trillion, sixty-five billion, nine hundred fifty-seven million, eight hundred twenty-six thousand, six hundred forty-one".