21095768418169 has 9 divisors (see below), whose sum is σ = 21163987208077. Its totient is φ = 21027768860704.

The previous prime is 21095768418163. The next prime is 21095768418217. The reversal of 21095768418169 is 96181486759012.

The square root of 21095768418169 is 4593013.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13792867515625 + 7302900902544 = 3713875^2 + 2702388^2 .

It is not a de Polignac number, because 21095768418169 - 2³ = 21095768418161 is a prime.

It is a super-2 number, since 2×21095768418169² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21095768418161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1455977877 + ... + 1455992365.

Almost surely, 2^{21095768418169} is an apocalyptic number.

21095768418169 is the 4593013-rd square number.

21095768418169 is the 2296507-th centered octagonal number.

It is an amenable number.

21095768418169 is a deficient number, since it is larger than the sum of its proper divisors (68218789908).

21095768418169 is an frugal number, since it uses more digits than its factorization.

21095768418169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29612 (or 14806 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 67.

The spelling of 21095768418169 in words is "twenty-one trillion, ninety-five billion, seven hundred sixty-eight million, four hundred eighteen thousand, one hundred sixty-nine".