226705605984000 has 6912 divisors, whose sum is σ = 1044531609698304. Its totient is φ = 46448640000000.

The previous prime is 226705605983951. The next prime is 226705605984001. The reversal of 226705605984000 is 489506507622.

226705605984000 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 0 + 5 + 6 + 0 + 598 + 40 + 0 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226705605984001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3193036703965 + ... + 3193036704035.

It is an arithmetic number, because the mean of its divisors is an integer number (151118577792).

Almost surely, 2^{226705605984000} is an apocalyptic number.

226705605984000 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 226705605984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522265804849152).

226705605984000 is an abundant number, since it is smaller than the sum of its proper divisors (817826003714304).

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

226705605984000 is a wasteful number, since it uses less digits than its factorization.

226705605984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 226705605984000 in words is "two hundred twenty-six trillion, seven hundred five billion, six hundred five million, nine hundred eighty-four thousand".