111284448 has 96 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 31733760.

The previous prime is 111284441. The next prime is 111284483. The reversal of 111284448 is 844482111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111284441) 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, 14853 + ... + 21051.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^111284448 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 111284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

111284448 is an abundant number, since it is smaller than the sum of its proper divisors (226193952).

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

111284448 is a wasteful number, since it uses less digits than its factorization.

111284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6232 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 111284448 is about 10549.1444202836. The cubic root of 111284448 is about 480.9997219351. Note that the first 3 decimals are identical.

It can be divided in two parts, 11128 and 4448, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 111284448 in words is "one hundred eleven million, two hundred eighty-four thousand, four hundred forty-eight".