456111666001 has 2 divisors, whose sum is σ = 456111666002. Its totient is φ = 456111666000.

The previous prime is 456111665969. The next prime is 456111666011. The reversal of 456111666001 is 100666111654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259769624976 + 196342041025 = 509676^2 + 443105^2 .

It is a cyclic number.

It is not a de Polignac number, because 456111666001 - 2⁵ = 456111665969 is a prime.

It is not a weakly prime, because it can be changed into another prime (456111666011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228055833000 + 228055833001.

It is an arithmetic number, because the mean of its divisors is an integer number (228055833001).

Almost surely, 2^456111666001 is an apocalyptic number.

It is an amenable number.

456111666001 is a deficient number, since it is larger than the sum of its proper divisors (1).

456111666001 is an equidigital number, since it uses as much as digits as its factorization.

456111666001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

Adding to 456111666001 its reverse (100666111654), we get a palindrome (556777777655).

The spelling of 456111666001 in words is "four hundred fifty-six billion, one hundred eleven million, six hundred sixty-six thousand, one".