112527041265 has 128 divisors (see below), whose sum is σ = 211186483200. Its totient is φ = 56737739520.

The previous prime is 112527041251. The next prime is 112527041317. The reversal of 112527041265 is 562140725211.

112527041265 is a `hidden beast` number, since 1 + 1 + 2 + 527 + 0 + 4 + 126 + 5 = 666.

It is not a de Polignac number, because 112527041265 - 2⁸ = 112527041009 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 181788126 + ... + 181788744.

It is an arithmetic number, because the mean of its divisors is an integer number (1649894400).

Almost surely, 2^112527041265 is an apocalyptic number.

112527041265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112527041265 is a deficient number, since it is larger than the sum of its proper divisors (98659441935).

112527041265 is a wasteful number, since it uses less digits than its factorization.

112527041265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 112527041265 its reverse (562140725211), we get a palindrome (674667766476).

The spelling of 112527041265 in words is "one hundred twelve billion, five hundred twenty-seven million, forty-one thousand, two hundred sixty-five".