344441100097 has 2 divisors, whose sum is σ = 344441100098. Its totient is φ = 344441100096.

The previous prime is 344441100079. The next prime is 344441100109. The reversal of 344441100097 is 790001144443.

Together with previous prime (344441100079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344385880336 + 55219761 = 586844^2 + 7431^2 .

It is a cyclic number.

It is not a de Polignac number, because 344441100097 - 2³⁵ = 310081361729 is a prime.

It is not a weakly prime, because it can be changed into another prime (344441100067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172220550048 + 172220550049.

It is an arithmetic number, because the mean of its divisors is an integer number (172220550049).

Almost surely, 2^344441100097 is an apocalyptic number.

It is an amenable number.

344441100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

344441100097 is an equidigital number, since it uses as much as digits as its factorization.

344441100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 344441100097 in words is "three hundred forty-four billion, four hundred forty-one million, one hundred thousand, ninety-seven".