114511310340241 has 16 divisors (see below), whose sum is σ = 123103620956160. Its totient is φ = 106175568050640.

The previous prime is 114511310340227. The next prime is 114511310340257. The reversal of 114511310340241 is 142043013115411.

It is a cyclic number.

It is not a de Polignac number, because 114511310340241 - 2⁴¹ = 112312287084689 is a prime.

It is a super-2 number, since 2×114511310340241² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114511310320241) 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 15 ways as a sum of consecutive naturals, for example, 204781270 + ... + 205339696.

It is an arithmetic number, because the mean of its divisors is an integer number (7693976309760).

Almost surely, 2^{114511310340241} is an apocalyptic number.

It is an amenable number.

114511310340241 is a deficient number, since it is larger than the sum of its proper divisors (8592310615919).

114511310340241 is a wasteful number, since it uses less digits than its factorization.

114511310340241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788124.

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 114511310340241 its reverse (142043013115411), we get a palindrome (256554323455652).

The spelling of 114511310340241 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred ten million, three hundred forty thousand, two hundred forty-one".