114820000217 has 8 divisors (see below), whose sum is σ = 124439904456. Its totient is φ = 105312609792.

The previous prime is 114820000199. The next prime is 114820000219. The reversal of 114820000217 is 712000028411.

It can be written as a sum of positive squares in 4 ways, for example, as 16986169561 + 97833830656 = 130331^2 + 312784^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114820000217 - 2⁶ = 114820000153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114820000219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28126328 + ... + 28130409.

It is an arithmetic number, because the mean of its divisors is an integer number (15554988057).

Almost surely, 2^114820000217 is an apocalyptic number.

It is an amenable number.

114820000217 is a deficient number, since it is larger than the sum of its proper divisors (9619904239).

114820000217 is a wasteful number, since it uses less digits than its factorization.

114820000217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56256907.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 114820000217 its reverse (712000028411), we get a palindrome (826820028628).

The spelling of 114820000217 in words is "one hundred fourteen billion, eight hundred twenty million, two hundred seventeen", and thus it is an aban number.