112566289081 has 9 divisors (see below), whose sum is σ = 113340875949. Its totient is φ = 111796966944.

The previous prime is 112566289037. The next prime is 112566289097. The reversal of 112566289081 is 180982665211.

The square root of 112566289081 is 335509.

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 56141037481 + 56425251600 = 236941^2 + 237540^2 .

It is not a de Polignac number, because 112566289081 - 2¹¹ = 112566287033 is a prime.

It is a super-2 number, since 2×112566289081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112566289001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52673845 + ... + 52675981.

It is an arithmetic number, because the mean of its divisors is an integer number (12593430661).

Almost surely, 2^112566289081 is an apocalyptic number.

112566289081 is the 335509-th square number.

112566289081 is the 167755-th centered octagonal number.

It is an amenable number.

112566289081 is a deficient number, since it is larger than the sum of its proper divisors (774586868).

112566289081 is an frugal number, since it uses more digits than its factorization.

112566289081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 112566289081 by its sum of digits (49), we get a square (5515748164969 = 2348563²).

The spelling of 112566289081 in words is "one hundred twelve billion, five hundred sixty-six million, two hundred eighty-nine thousand, eighty-one".