112456534500 has 144 divisors (see below), whose sum is σ = 355190904432. Its totient is φ = 29952230400.

The previous prime is 112456534499. The next prime is 112456534507. The reversal of 112456534500 is 5435654211.

112456534500 is a `hidden beast` number, since 1 + 1 + 24 + 56 + 534 + 50 + 0 = 666.

112456534500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 55006197156 + 57450337344 = 234534^2 + 239688^2 .

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 (112456534507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3823852 + ... + 3853148.

It is an arithmetic number, because the mean of its divisors is an integer number (2466603503).

Almost surely, 2^112456534500 is an apocalyptic number.

112456534500 is a gapful number since it is divisible by the number (10) 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 112456534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177595452216).

112456534500 is an abundant number, since it is smaller than the sum of its proper divisors (242734369932).

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

112456534500 is a wasteful number, since it uses less digits than its factorization.

112456534500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30175 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 112456534500 in words is "one hundred twelve billion, four hundred fifty-six million, five hundred thirty-four thousand, five hundred".