11400400344349 has 2 divisors, whose sum is σ = 11400400344350. Its totient is φ = 11400400344348.

The previous prime is 11400400344257. The next prime is 11400400344391. The reversal of 11400400344349 is 94344300400411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11131278031449 + 269122312900 = 3336357^2 + 518770^2 .

It is a cyclic number.

It is not a de Polignac number, because 11400400344349 - 2³³ = 11391810409757 is a prime.

It is a super-2 number, since 2×11400400344349² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11400400944349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5700200172174 + 5700200172175.

It is an arithmetic number, because the mean of its divisors is an integer number (5700200172175).

Almost surely, 2^{11400400344349} is an apocalyptic number.

It is an amenable number.

11400400344349 is a deficient number, since it is larger than the sum of its proper divisors (1).

11400400344349 is an equidigital number, since it uses as much as digits as its factorization.

11400400344349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 11400400344349 in words is "eleven trillion, four hundred billion, four hundred million, three hundred forty-four thousand, three hundred forty-nine".