226868008649667 has 128 divisors (see below), whose sum is σ = 410902870671360. Its totient is φ = 107824998167040.

The previous prime is 226868008649627. The next prime is 226868008649669. The reversal of 226868008649667 is 766946800868622.

It is not a de Polignac number, because 226868008649667 - 2¹⁴ = 226868008633283 is a prime.

It is a super-3 number, since 3×226868008649667³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226868008649592 and 226868008649601.

It is not an unprimeable number, because it can be changed into a prime (226868008649669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9605713 + ... + 23366765.

It is an arithmetic number, because the mean of its divisors is an integer number (3210178677120).

Almost surely, 2^{226868008649667} is an apocalyptic number.

226868008649667 is a deficient number, since it is larger than the sum of its proper divisors (184034862021693).

226868008649667 is a wasteful number, since it uses less digits than its factorization.

226868008649667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13761233.

The product of its (nonzero) digits is 4013162496, while the sum is 78.

The spelling of 226868008649667 in words is "two hundred twenty-six trillion, eight hundred sixty-eight billion, eight million, six hundred forty-nine thousand, six hundred sixty-seven".