114241014411137 has 2 divisors, whose sum is σ = 114241014411138. Its totient is φ = 114241014411136.

The previous prime is 114241014411119. The next prime is 114241014411143. The reversal of 114241014411137 is 731114410142411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78551191393921 + 35689823017216 = 8862911^2 + 5974096^2 .

It is a cyclic number.

It is not a de Polignac number, because 114241014411137 - 2²² = 114241010216833 is a prime.

It is a super-2 number, since 2×114241014411137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114241014411097 and 114241014411106.

It is not a weakly prime, because it can be changed into another prime (114241014411037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57120507205568 + 57120507205569.

It is an arithmetic number, because the mean of its divisors is an integer number (57120507205569).

Almost surely, 2^{114241014411137} is an apocalyptic number.

It is an amenable number.

114241014411137 is a deficient number, since it is larger than the sum of its proper divisors (1).

114241014411137 is an equidigital number, since it uses as much as digits as its factorization.

114241014411137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 35.

Adding to 114241014411137 its reverse (731114410142411), we get a palindrome (845355424553548).

The spelling of 114241014411137 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, four hundred eleven thousand, one hundred thirty-seven".