344400111112049 has 2 divisors, whose sum is σ = 344400111112050. Its totient is φ = 344400111112048.

The previous prime is 344400111111989. The next prime is 344400111112061. The reversal of 344400111112049 is 940211111004443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191599164544225 + 152800946567824 = 13841935^2 + 12361268^2 .

It is a cyclic number.

It is not a de Polignac number, because 344400111112049 - 2³² = 344395816144753 is a prime.

It is a super-2 number, since 2×344400111112049² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (344400111162049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172200055556024 + 172200055556025.

It is an arithmetic number, because the mean of its divisors is an integer number (172200055556025).

Almost surely, 2^{344400111112049} is an apocalyptic number.

It is an amenable number.

344400111112049 is a deficient number, since it is larger than the sum of its proper divisors (1).

344400111112049 is an equidigital number, since it uses as much as digits as its factorization.

344400111112049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 344400111112049 in words is "three hundred forty-four trillion, four hundred billion, one hundred eleven million, one hundred twelve thousand, forty-nine".