112536045072 has 120 divisors (see below), whose sum is σ = 345765101760. Its totient is φ = 33884547840.

The previous prime is 112536045059. The next prime is 112536045077. The reversal of 112536045072 is 270540635211.

112536045072 is a `hidden beast` number, since 1 + 1 + 2 + 536 + 0 + 4 + 50 + 72 = 666.

It is a super-2 number, since 2×112536045072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112536045077) 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 23 ways as a sum of consecutive naturals, for example, 22429 + ... + 474947.

It is an arithmetic number, because the mean of its divisors is an integer number (2881375848).

Almost surely, 2^112536045072 is an apocalyptic number.

112536045072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112536045072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172882550880).

112536045072 is an abundant number, since it is smaller than the sum of its proper divisors (233229056688).

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

112536045072 is a wasteful number, since it uses less digits than its factorization.

112536045072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452701 (or 452692 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 112536045072 in words is "one hundred twelve billion, five hundred thirty-six million, forty-five thousand, seventy-two".