114000216 has 64 divisors (see below), whose sum is σ = 316051200. Its totient is φ = 33974400.

The previous prime is 114000203. The next prime is 114000217. The reversal of 114000216 is 612000411.

It is a junction number, because it is equal to n+sod(n) for n = 114000195 and 114000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114000217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12565 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (4938300).

Almost surely, 2^114000216 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 114000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158025600).

114000216 is an abundant number, since it is smaller than the sum of its proper divisors (202050984).

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

114000216 is a wasteful number, since it uses less digits than its factorization.

114000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114000216 is about 10677.0883671533. The cubic root of 114000216 is about 484.8810648243.

Adding to 114000216 its reverse (612000411), we get a palindrome (726000627).

The spelling of 114000216 in words is "one hundred fourteen million, two hundred sixteen", and thus it is an aban number.