112082275935 has 256 divisors, whose sum is σ = 245572300800. Its totient is φ = 47341780992.

The previous prime is 112082275873. The next prime is 112082275993. The reversal of 112082275935 is 539572280211.

112082275935 is a `hidden beast` number, since 11 + 20 + 8 + 2 + 27 + 593 + 5 = 666.

It is not a de Polignac number, because 112082275935 - 2⁷ = 112082275807 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 396050304 + ... + 396050586.

It is an arithmetic number, because the mean of its divisors is an integer number (959266800).

Almost surely, 2^112082275935 is an apocalyptic number.

112082275935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112082275935 is an abundant number, since it is smaller than the sum of its proper divisors (133490024865).

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

112082275935 is a wasteful number, since it uses less digits than its factorization.

112082275935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 112082275935 in words is "one hundred twelve billion, eighty-two million, two hundred seventy-five thousand, nine hundred thirty-five".