114048 has 80 divisors (see below), whose sum is σ = 370260. Its totient is φ = 34560.

The previous prime is 114043. The next prime is 114067. The reversal of 114048 is 840411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 114048.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114048.

It is not an unprimeable number, because it can be changed into a prime (114041) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10363 + ... + 10373.

2¹¹⁴⁰⁴⁸ is an apocalyptic number.

114048 is a gapful number since it is divisible by the number (18) 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 114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185130).

114048 is an abundant number, since it is smaller than the sum of its proper divisors (256212).

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

114048 is an equidigital number, since it uses as much as digits as its factorization.

114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114048 is about 337.7099347073. The cubic root of 114048 is about 48.4948802475.

114048 divided by its sum of digits (18) gives a palindrome (6336).

Adding to 114048 its reverse (840411), we get a palindrome (954459).

The spelling of 114048 in words is "one hundred fourteen thousand, forty-eight".