10114400340349 has 2 divisors, whose sum is σ = 10114400340350. Its totient is φ = 10114400340348.

The previous prime is 10114400340313. The next prime is 10114400340367. The reversal of 10114400340349 is 94304300441101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5810775408025 + 4303624932324 = 2410555^2 + 2074518^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114400340349 - 2⁷ = 10114400340221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10114400340749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057200170174 + 5057200170175.

It is an arithmetic number, because the mean of its divisors is an integer number (5057200170175).

Almost surely, 2^{10114400340349} is an apocalyptic number.

It is an amenable number.

10114400340349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114400340349 is an equidigital number, since it uses as much as digits as its factorization.

10114400340349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10114400340349 in words is "ten trillion, one hundred fourteen billion, four hundred million, three hundred forty thousand, three hundred forty-nine".