112516452 has 60 divisors (see below), whose sum is σ = 299014716. Its totient is φ = 36884160.

The previous prime is 112516451. The next prime is 112516477. The reversal of 112516452 is 254615211.

112516452 is a `hidden beast` number, since 1 + 12 + 5 + 1 + 645 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7986276 + 104530176 = 2826^2 + 10224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112516451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16918 + ... + 22610.

Almost surely, 2^112516452 is an apocalyptic number.

112516452 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 112516452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149507358).

112516452 is an abundant number, since it is smaller than the sum of its proper divisors (186498264).

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

112516452 is a wasteful number, since it uses less digits than its factorization.

112516452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5759 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 112516452 is about 10607.3772441636. The cubic root of 112516452 is about 482.7682233504.

The spelling of 112516452 in words is "one hundred twelve million, five hundred sixteen thousand, four hundred fifty-two".