112829481801 has 81 divisors (see below), whose sum is σ = 176589056397. Its totient is φ = 69410582640.

The previous prime is 112829481749. The next prime is 112829481811. The reversal of 112829481801 is 108184928211.

It is a happy number.

The square root of 112829481801 is 335901.

It is a perfect power (a square), and thus also a powerful number.

112829481801 is a `hidden beast` number, since 1 + 12 + 82 + 9 + 481 + 80 + 1 = 666.

It is not a de Polignac number, because 112829481801 - 2¹⁷ = 112829350729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112829481811) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1359391306 + ... + 1359391388.

Almost surely, 2^112829481801 is an apocalyptic number.

112829481801 is the 335901-st square number.

112829481801 is the 167951-st centered octagonal number.

It is an amenable number.

112829481801 is a deficient number, since it is larger than the sum of its proper divisors (63759574596).

112829481801 is an frugal number, since it uses more digits than its factorization.

112829481801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 112829481801 in words is "one hundred twelve billion, eight hundred twenty-nine million, four hundred eighty-one thousand, eight hundred one".