345054401772121 has 2 divisors, whose sum is σ = 345054401772122. Its totient is φ = 345054401772120.

The previous prime is 345054401772089. The next prime is 345054401772137. The reversal of 345054401772121 is 121277104450543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296027027950096 + 49027373822025 = 17205436^2 + 7001955^2 .

It is a cyclic number.

It is not a de Polignac number, because 345054401772121 - 2⁵ = 345054401772089 is a prime.

It is a super-3 number, since 3×345054401772121³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (345054401776121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172527200886060 + 172527200886061.

It is an arithmetic number, because the mean of its divisors is an integer number (172527200886061).

Almost surely, 2^{345054401772121} is an apocalyptic number.

It is an amenable number.

345054401772121 is a deficient number, since it is larger than the sum of its proper divisors (1).

345054401772121 is an equidigital number, since it uses as much as digits as its factorization.

345054401772121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 345054401772121 in words is "three hundred forty-five trillion, fifty-four billion, four hundred one million, seven hundred seventy-two thousand, one hundred twenty-one".