226865358720 has 2304 divisors, whose sum is σ = 1096241328000. Its totient is φ = 42918543360.

The previous prime is 226865358667. The next prime is 226865358739. The reversal of 226865358720 is 27853568622.

It is a happy number.

226865358720 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 6 + 53 + 587 + 2 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 3107744604 + ... + 3107744676.

Almost surely, 2^226865358720 is an apocalyptic number.

226865358720 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 226865358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548120664000).

226865358720 is an abundant number, since it is smaller than the sum of its proper divisors (869375969280).

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

226865358720 is a wasteful number, since it uses less digits than its factorization.

226865358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

It can be divided in two parts, 226865 and 358720, that added together give a palindrome (585585).

The spelling of 226865358720 in words is "two hundred twenty-six billion, eight hundred sixty-five million, three hundred fifty-eight thousand, seven hundred twenty".