114144016 has 80 divisors (see below), whose sum is σ = 262018944. Its totient is φ = 47158272.

The previous prime is 114144011. The next prime is 114144053. The reversal of 114144016 is 610441411.

It is not an unprimeable number, because it can be changed into a prime (114144011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659706 + ... + 659878.

Almost surely, 2^114144016 is an apocalyptic number.

114144016 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 114144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131009472).

114144016 is an abundant number, since it is smaller than the sum of its proper divisors (147874928).

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

114144016 is a wasteful number, since it uses less digits than its factorization.

114144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 114144016 is about 10683.8202905141. The cubic root of 114144016 is about 485.0848556668.

Adding to 114144016 its reverse (610441411), we get a palindrome (724585427).

The spelling of 114144016 in words is "one hundred fourteen million, one hundred forty-four thousand, sixteen".