112736484 has 144 divisors (see below), whose sum is σ = 340599168. Its totient is φ = 30772224.

The previous prime is 112736467. The next prime is 112736509. The reversal of 112736484 is 484637211.

112736484 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 648 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997612 + ... + 997724.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2^112736484 is an apocalyptic number.

112736484 is a gapful number since it is divisible by the number (14) 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 112736484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170299584).

112736484 is an abundant number, since it is smaller than the sum of its proper divisors (227862684).

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

112736484 is a wasteful number, since it uses less digits than its factorization.

112736484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 112736484 is about 10617.7438281398. The cubic root of 112736484 is about 483.0827115531.

The spelling of 112736484 in words is "one hundred twelve million, seven hundred thirty-six thousand, four hundred eighty-four".