114816 has 64 divisors (see below), whose sum is σ = 342720. Its totient is φ = 33792.

The previous prime is 114809. The next prime is 114827. The reversal of 114816 is 618411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114792 and 114801.

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 114816.

It is an unprimeable number.

114816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4981 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2¹¹⁴⁸¹⁶ is an apocalyptic number.

114816 is a gapful number since it is divisible by the number (16) 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 114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360).

114816 is an abundant number, since it is smaller than the sum of its proper divisors (227904).

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

114816 is a wasteful number, since it uses less digits than its factorization.

114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 114816 is about 338.8450973528. The cubic root of 114816 is about 48.6034917642.

It can be divided in two parts, 11481 and 6, that multiplied together give a palindrome (68886).

The spelling of 114816 in words is "one hundred fourteen thousand, eight hundred sixteen".