226089385056 has 288 divisors, whose sum is σ = 690610572288. Its totient is φ = 72712442880.

The previous prime is 226089384953. The next prime is 226089385073. The reversal of 226089385056 is 650583980622.

226089385056 is a `hidden beast` number, since 2 + 26 + 0 + 89 + 38 + 505 + 6 = 666.

226089385056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×226089385056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 226089384993 and 226089385011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25944156 + ... + 25952868.

It is an arithmetic number, because the mean of its divisors is an integer number (2397953376).

Almost surely, 2^226089385056 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 226089385056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345305286144).

226089385056 is an abundant number, since it is smaller than the sum of its proper divisors (464521187232).

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

226089385056 is an equidigital number, since it uses as much as digits as its factorization.

226089385056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 226089385056 in words is "two hundred twenty-six billion, eighty-nine million, three hundred eighty-five thousand, fifty-six".