112116948 has 48 divisors (see below), whose sum is σ = 276360000. Its totient is φ = 35278848.

The previous prime is 112116943. The next prime is 112116971. The reversal of 112116948 is 849611211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112116943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78868 + ... + 80276.

It is an arithmetic number, because the mean of its divisors is an integer number (5757500).

Almost surely, 2^112116948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112116948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138180000).

112116948 is an abundant number, since it is smaller than the sum of its proper divisors (164243052).

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

112116948 is a wasteful number, since it uses less digits than its factorization.

112116948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1782 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 112116948 is about 10588.5290763165. The cubic root of 112116948 is about 482.1961690671.

The spelling of 112116948 in words is "one hundred twelve million, one hundred sixteen thousand, nine hundred forty-eight".