114444 has 54 divisors (see below), whose sum is σ = 335244. Its totient is φ = 32640.

The previous prime is 114419. The next prime is 114451. The reversal of 114444 is 444411.

114444 = T₄₉ + T₅₀ + ... + T₉₂.

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

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

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6724 + ... + 6740.

2¹¹⁴⁴⁴⁴ 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 114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167622).

114444 is an abundant number, since it is smaller than the sum of its proper divisors (220800).

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

114444 is a wasteful number, since it uses less digits than its factorization.

114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 114444 is about 338.2957286163. The cubic root of 114444 is about 48.5509437428.

Adding to 114444 its reverse (444411), we get a palindrome (558855).

Multiplying 114444 by its reverse (444411), we get a square (50860172484 = 225522²).

It can be divided in two parts, 11 and 4444, that multiplied together give a palindrome (48884).

The spelling of 114444 in words is "one hundred fourteen thousand, four hundred forty-four", and thus it is an iban number.