226211145444 has 96 divisors (see below), whose sum is σ = 606703534080. Its totient is φ = 72813232800.

The previous prime is 226211145437. The next prime is 226211145467. The reversal of 226211145444 is 444541112622.

226211145444 is a `hidden beast` number, since 2 + 2 + 62 + 11 + 145 + 444 = 666.

226211145444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226211145399 and 226211145408.

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 31 ways as a sum of consecutive naturals, for example, 1477159 + ... + 1623089.

It is an arithmetic number, because the mean of its divisors is an integer number (6319828480).

Almost surely, 2^226211145444 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 226211145444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303351767040).

226211145444 is an abundant number, since it is smaller than the sum of its proper divisors (380492388636).

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

226211145444 is a wasteful number, since it uses less digits than its factorization.

226211145444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146438 (or 146430 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 226211145444 in words is "two hundred twenty-six billion, two hundred eleven million, one hundred forty-five thousand, four hundred forty-four".