114612288 has 112 divisors (see below), whose sum is σ = 353324160. Its totient is φ = 32108544.

The previous prime is 114612269. The next prime is 114612299. The reversal of 114612288 is 882216411.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70428 + ... + 72036.

It is an arithmetic number, because the mean of its divisors is an integer number (3154680).

Almost surely, 2^114612288 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 114612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176662080).

114612288 is an abundant number, since it is smaller than the sum of its proper divisors (238711872).

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

114612288 is a wasteful number, since it uses less digits than its factorization.

114612288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 114612288 is about 10705.7128674367. The cubic root of 114612288 is about 485.7472987283.

Adding to 114612288 its reverse (882216411), we get a palindrome (996828699).

The spelling of 114612288 in words is "one hundred fourteen million, six hundred twelve thousand, two hundred eighty-eight".