114054416201 has 16 divisors (see below), whose sum is σ = 127818373248. Its totient is φ = 101729433520.

The previous prime is 114054416197. The next prime is 114054416213. The reversal of 114054416201 is 102614450411.

It is not a de Polignac number, because 114054416201 - 2² = 114054416197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114054416261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737861 + ... + 878946.

It is an arithmetic number, because the mean of its divisors is an integer number (7988648328).

Almost surely, 2^114054416201 is an apocalyptic number.

114054416201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114054416201 is a deficient number, since it is larger than the sum of its proper divisors (13763957047).

114054416201 is an equidigital number, since it uses as much as digits as its factorization.

114054416201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616893 (or 1616871 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 114054416201 its reverse (102614450411), we get a palindrome (216668866612).

The spelling of 114054416201 in words is "one hundred fourteen billion, fifty-four million, four hundred sixteen thousand, two hundred one".