114444288 has 144 divisors (see below), whose sum is σ = 378181440. Its totient is φ = 32661504.

The previous prime is 114444287. The next prime is 114444313. The reversal of 114444288 is 882444411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114444287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128581 + ... + 129467.

It is an arithmetic number, because the mean of its divisors is an integer number (2626260).

Almost surely, 2^114444288 is an apocalyptic number.

114444288 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 114444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189090720).

114444288 is an abundant number, since it is smaller than the sum of its proper divisors (263737152).

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

114444288 is an equidigital number, since it uses as much as digits as its factorization.

114444288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 899 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 114444288 is about 10697.8637119754. The cubic root of 114444288 is about 485.5098446912.

Adding to 114444288 its reverse (882444411), we get a palindrome (996888699).

The spelling of 114444288 in words is "one hundred fourteen million, four hundred forty-four thousand, two hundred eighty-eight".