112994784 has 288 divisors, whose sum is σ = 408512160. Its totient is φ = 30191616.

The previous prime is 112994779. The next prime is 112994797. The reversal of 112994784 is 487499211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112994784² = 25535642422413312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 719634 + ... + 719790.

It is an arithmetic number, because the mean of its divisors is an integer number (1418445).

Almost surely, 2^112994784 is an apocalyptic number.

112994784 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 112994784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204256080).

112994784 is an abundant number, since it is smaller than the sum of its proper divisors (295517376).

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

112994784 is a wasteful number, since it uses less digits than its factorization.

112994784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 112994784 is about 10629.9004699009. The cubic root of 112994784 is about 483.4513738912.

The spelling of 112994784 in words is "one hundred twelve million, nine hundred ninety-four thousand, seven hundred eighty-four".