345549976822681 has 2 divisors, whose sum is σ = 345549976822682. Its totient is φ = 345549976822680.

The previous prime is 345549976822607. The next prime is 345549976822697. The reversal of 345549976822681 is 186228679945543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304598168413081 + 40951808409600 = 17452741^2 + 6399360^2 .

It is an emirp because it is prime and its reverse (186228679945543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 345549976822681 - 2¹⁷ = 345549976691609 is a prime.

It is a super-2 number, since 2×345549976822681² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345549976852681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172774988411340 + 172774988411341.

It is an arithmetic number, because the mean of its divisors is an integer number (172774988411341).

Almost surely, 2^{345549976822681} is an apocalyptic number.

It is an amenable number.

345549976822681 is a deficient number, since it is larger than the sum of its proper divisors (1).

345549976822681 is an equidigital number, since it uses as much as digits as its factorization.

345549976822681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6270566400, while the sum is 79.

The spelling of 345549976822681 in words is "three hundred forty-five trillion, five hundred forty-nine billion, nine hundred seventy-six million, eight hundred twenty-two thousand, six hundred eighty-one".