20345018408081 has 2 divisors, whose sum is σ = 20345018408082. Its totient is φ = 20345018408080.

The previous prime is 20345018408047. The next prime is 20345018408101. The reversal of 20345018408081 is 18080481054302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10994363850625 + 9350654557456 = 3315775^2 + 3057884^2 .

It is a cyclic number.

It is not a de Polignac number, because 20345018408081 - 2⁶ = 20345018408017 is a prime.

It is a super-2 number, since 2×20345018408081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20345018408021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10172509204040 + 10172509204041.

It is an arithmetic number, because the mean of its divisors is an integer number (10172509204041).

Almost surely, 2^{20345018408081} is an apocalyptic number.

It is an amenable number.

20345018408081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20345018408081 is an equidigital number, since it uses as much as digits as its factorization.

20345018408081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 20345018408081 in words is "twenty trillion, three hundred forty-five billion, eighteen million, four hundred eight thousand, eighty-one".