226808027661609 has 243 divisors, whose sum is σ = 374984461310277. Its totient is φ = 132062790486528.

The previous prime is 226808027661571. The next prime is 226808027661613. The reversal of 226808027661609 is 906166720808622.

The square root of 226808027661609 is 15060147.

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

226808027661609 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 0 + 8 + 0 + 2 + 7 + 6 + 616 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105504677773209 + 121303349888400 = 10271547^2 + 11013780^2 .

It is not a de Polignac number, because 226808027661609 - 2¹¹ = 226808027659561 is a prime.

It is a super-2 number, since 2×226808027661609² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226808027611609) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 653625439774 + ... + 653625440120.

Almost surely, 2^{226808027661609} is an apocalyptic number.

226808027661609 is the 15060147-th square number.

226808027661609 is the 7530074-th centered octagonal number.

It is an amenable number.

226808027661609 is a deficient number, since it is larger than the sum of its proper divisors (148176433648668).

226808027661609 is an equidigital number, since it uses as much as digits as its factorization.

226808027661609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 226808027661609 in words is "two hundred twenty-six trillion, eight hundred eight billion, twenty-seven million, six hundred sixty-one thousand, six hundred nine".