226531005012 has 162 divisors, whose sum is σ = 658680538698. Its totient is φ = 65601229824.

The previous prime is 226531004993. The next prime is 226531005017. The reversal of 226531005012 is 210500135622.

It is a happy number.

226531005012 is a `hidden beast` number, since 2 + 2 + 6 + 53 + 100 + 501 + 2 = 666.

226531005012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 123647876496 + 102883128516 = 351636^2 + 320754^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226531005017) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 1693858 + ... + 1822694.

Almost surely, 2^226531005012 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 226531005012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329340269349).

226531005012 is an abundant number, since it is smaller than the sum of its proper divisors (432149533686).

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

226531005012 is a wasteful number, since it uses less digits than its factorization.

226531005012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128907 (or 128872 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 226531005012 in words is "two hundred twenty-six billion, five hundred thirty-one million, five thousand, twelve".