112038736833 has 12 divisors (see below), whose sum is σ = 161837904228. Its totient is φ = 74690565120.

The previous prime is 112038736807. The next prime is 112038736847. The reversal of 112038736833 is 338637830211.

112038736833 is a `hidden beast` number, since 1 + 1 + 203 + 87 + 368 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32072511744 + 79966225089 = 179088^2 + 282783^2 .

It is not a de Polignac number, because 112038736833 - 2¹² = 112038732737 is a prime.

It is a super-2 number, since 2×112038736833² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112038736883) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 268141 + ... + 544037.

It is an arithmetic number, because the mean of its divisors is an integer number (13486492019).

Almost surely, 2^112038736833 is an apocalyptic number.

It is an amenable number.

112038736833 is a deficient number, since it is larger than the sum of its proper divisors (49799167395).

112038736833 is a wasteful number, since it uses less digits than its factorization.

112038736833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321024 (or 321021 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 112038736833 in words is "one hundred twelve billion, thirty-eight million, seven hundred thirty-six thousand, eight hundred thirty-three".