114666351616201 has 24 divisors (see below), whose sum is σ = 144045476568000. Its totient is φ = 89349290294880.

The previous prime is 114666351616199. The next prime is 114666351616231. The reversal of 114666351616201 is 102616153666411.

It is a happy number.

It is not a de Polignac number, because 114666351616201 - 2¹ = 114666351616199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114666351616231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70742175 + ... + 72344923.

It is an arithmetic number, because the mean of its divisors is an integer number (6001894857000).

Almost surely, 2^{114666351616201} is an apocalyptic number.

114666351616201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114666351616201 is a deficient number, since it is larger than the sum of its proper divisors (29379124951799).

114666351616201 is a wasteful number, since it uses less digits than its factorization.

114666351616201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687245 (or 1687234 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 114666351616201 in words is "one hundred fourteen trillion, six hundred sixty-six billion, three hundred fifty-one million, six hundred sixteen thousand, two hundred one".