11146626163969 has 2 divisors, whose sum is σ = 11146626163970. Its totient is φ = 11146626163968.

The previous prime is 11146626163957. The next prime is 11146626163973. The reversal of 11146626163969 is 96936162664111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10738991161600 + 407635002369 = 3277040^2 + 638463^2 .

It is a cyclic number.

It is not a de Polignac number, because 11146626163969 - 2¹⁷ = 11146626032897 is a prime.

It is a super-2 number, since 2×11146626163969² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11146626163909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5573313081984 + 5573313081985.

It is an arithmetic number, because the mean of its divisors is an integer number (5573313081985).

Almost surely, 2^{11146626163969} is an apocalyptic number.

It is an amenable number.

11146626163969 is a deficient number, since it is larger than the sum of its proper divisors (1).

11146626163969 is an equidigital number, since it uses as much as digits as its factorization.

11146626163969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15116544, while the sum is 61.

The spelling of 11146626163969 in words is "eleven trillion, one hundred forty-six billion, six hundred twenty-six million, one hundred sixty-three thousand, nine hundred sixty-nine".