112935835089 has 504 divisors, whose sum is σ = 241620722280. Its totient is φ = 52306974720.

The previous prime is 112935835081. The next prime is 112935835139. The reversal of 112935835089 is 980538539211.

112935835089 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 3 + 583 + 50 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43222410000 + 69713425089 = 207900^2 + 264033^2 .

It is not a de Polignac number, because 112935835089 - 2³ = 112935835081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112935835081) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2130864787 + ... + 2130864839.

It is an arithmetic number, because the mean of its divisors is an integer number (479406195).

Almost surely, 2^112935835089 is an apocalyptic number.

It is an amenable number.

112935835089 is an abundant number, since it is smaller than the sum of its proper divisors (128684887191).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112935835089 is a wasteful number, since it uses less digits than its factorization.

112935835089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 112935835089 in words is "one hundred twelve billion, nine hundred thirty-five million, eight hundred thirty-five thousand, eighty-nine".