226608290372556 has 240 divisors, whose sum is σ = 617752698393600. Its totient is φ = 72345319506432.

The previous prime is 226608290372551. The next prime is 226608290372593. The reversal of 226608290372556 is 655273092806622.

226608290372556 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 0 + 8 + 2 + 9 + 0 + 3 + 72 + 556 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 226608290372493 and 226608290372502.

It is not an unprimeable number, because it can be changed into a prime (226608290372551) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10010515270 + ... + 10010537906.

It is an arithmetic number, because the mean of its divisors is an integer number (2573969576640).

Almost surely, 2^{226608290372556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226608290372556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308876349196800).

226608290372556 is an abundant number, since it is smaller than the sum of its proper divisors (391144408021044).

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

226608290372556 is a wasteful number, since it uses less digits than its factorization.

226608290372556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31198 (or 31187 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 226608290372556 in words is "two hundred twenty-six trillion, six hundred eight billion, two hundred ninety million, three hundred seventy-two thousand, five hundred fifty-six".