112888445040 has 160 divisors (see below), whose sum is σ = 444386319360. Its totient is φ = 25803069696.

The previous prime is 112888445027. The next prime is 112888445041. The reversal of 112888445040 is 40544888211.

112888445040 is a `hidden beast` number, since 1 + 1 + 2 + 88 + 84 + 450 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112888445041) 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 31 ways as a sum of consecutive naturals, for example, 3717964 + ... + 3748203.

It is an arithmetic number, because the mean of its divisors is an integer number (2777414496).

Almost surely, 2^112888445040 is an apocalyptic number.

112888445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112888445040 is an abundant number, since it is smaller than the sum of its proper divisors (331497874320).

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

112888445040 is a wasteful number, since it uses less digits than its factorization.

112888445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466196 (or 7466184 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

It can be divided in two parts, 11288 and 8445040, that added together give a triangular number (8456328 = T₄₁₁₂).

The spelling of 112888445040 in words is "one hundred twelve billion, eight hundred eighty-eight million, four hundred forty-five thousand, forty".