114800927201 has 8 divisors (see below), whose sum is σ = 115427582760. Its totient is φ = 114174600192.

The previous prime is 114800927179. The next prime is 114800927209. The reversal of 114800927201 is 102729008411.

It can be written as a sum of positive squares in 4 ways, for example, as 4045087201 + 110755840000 = 63601^2 + 332800^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 114800927201 - 2¹⁴ = 114800910817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114800927209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635651 + ... + 796023.

It is an arithmetic number, because the mean of its divisors is an integer number (14428447845).

Almost surely, 2^114800927201 is an apocalyptic number.

It is an amenable number.

114800927201 is a deficient number, since it is larger than the sum of its proper divisors (626655559).

114800927201 is a wasteful number, since it uses less digits than its factorization.

114800927201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164275.

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 114800927201 in words is "one hundred fourteen billion, eight hundred million, nine hundred twenty-seven thousand, two hundred one".