226642644560 has 240 divisors, whose sum is σ = 576530059536. Its totient is φ = 82780766208.

The previous prime is 226642644497. The next prime is 226642644583. The reversal of 226642644560 is 65446246622.

It can be written as a sum of positive squares in 8 ways, for example, as 2531297344 + 224111347216 = 50312^2 + 473404^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120746342 + ... + 120748218.

Almost surely, 2^226642644560 is an apocalyptic number.

226642644560 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 226642644560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288265029768).

226642644560 is an abundant number, since it is smaller than the sum of its proper divisors (349887414976).

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

226642644560 is a wasteful number, since it uses less digits than its factorization.

226642644560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 226642644560 in words is "two hundred twenty-six billion, six hundred forty-two million, six hundred forty-four thousand, five hundred sixty".