344560226166 has 128 divisors (see below), whose sum is σ = 873487359360. Its totient is φ = 99737174016.

The previous prime is 344560226141. The next prime is 344560226209. The reversal of 344560226166 is 661622065443.

It is a happy number.

344560226166 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 6 + 0 + 22 + 616 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33851670 + ... + 33861846.

It is an arithmetic number, because the mean of its divisors is an integer number (6824119995).

Almost surely, 2^344560226166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344560226166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436743679680).

344560226166 is an abundant number, since it is smaller than the sum of its proper divisors (528927133194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344560226166 is a wasteful number, since it uses less digits than its factorization.

344560226166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 344560226166 in words is "three hundred forty-four billion, five hundred sixty million, two hundred twenty-six thousand, one hundred sixty-six".