344540589121 has 2 divisors, whose sum is σ = 344540589122. Its totient is φ = 344540589120.

The previous prime is 344540589023. The next prime is 344540589131. The reversal of 344540589121 is 121985045443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319378698496 + 25161890625 = 565136^2 + 158625^2 .

It is a cyclic number.

It is not a de Polignac number, because 344540589121 - 2¹⁷ = 344540458049 is a prime.

It is not a weakly prime, because it can be changed into another prime (344540589131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172270294560 + 172270294561.

It is an arithmetic number, because the mean of its divisors is an integer number (172270294561).

Almost surely, 2^344540589121 is an apocalyptic number.

It is an amenable number.

344540589121 is a deficient number, since it is larger than the sum of its proper divisors (1).

344540589121 is an equidigital number, since it uses as much as digits as its factorization.

344540589121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 46.

It can be divided in two parts, 344540 and 589121, that added together give a triangular number (933661 = T₁₃₆₆).

The spelling of 344540589121 in words is "three hundred forty-four billion, five hundred forty million, five hundred eighty-nine thousand, one hundred twenty-one".