42166112265 has 48 divisors (see below), whose sum is σ = 77539971600. Its totient is φ = 21123956736.

The previous prime is 42166112243. The next prime is 42166112291. The reversal of 42166112265 is 56221166124.

42166112265 is a `hidden beast` number, since 4 + 2 + 16 + 611 + 2 + 26 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 87385104 + 42078727161 = 9348^2 + 205131^2 .

It is not a de Polignac number, because 42166112265 - 2¹⁸ = 42165850121 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335241 + ... + 443529.

It is an arithmetic number, because the mean of its divisors is an integer number (1615416075).

Almost surely, 2^42166112265 is an apocalyptic number.

42166112265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42166112265 is a deficient number, since it is larger than the sum of its proper divisors (35373859335).

42166112265 is a wasteful number, since it uses less digits than its factorization.

42166112265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108826 (or 108823 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 42166112265 its reverse (56221166124), we get a palindrome (98387278389).

The spelling of 42166112265 in words is "forty-two billion, one hundred sixty-six million, one hundred twelve thousand, two hundred sixty-five".