226405607567600 has 120 divisors (see below), whose sum is σ = 558660911257008. Its totient is φ = 88111401523200.

The previous prime is 226405607567467. The next prime is 226405607567603. The reversal of 226405607567600 is 6765706504622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226405607567603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427766327 + ... + 428295273.

Almost surely, 2^{226405607567600} is an apocalyptic number.

226405607567600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226405607567600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279330455628504).

226405607567600 is an abundant number, since it is smaller than the sum of its proper divisors (332255303689408).

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

226405607567600 is a wasteful number, since it uses less digits than its factorization.

226405607567600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557923 (or 557912 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 56.

The spelling of 226405607567600 in words is "two hundred twenty-six trillion, four hundred five billion, six hundred seven million, five hundred sixty-seven thousand, six hundred".