226266053832 has 576 divisors, whose sum is σ = 807349495680. Its totient is φ = 58833589248.

The previous prime is 226266053803. The next prime is 226266053869. The reversal of 226266053832 is 238350662622.

226266053832 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 6 + 605 + 3 + 8 + 32 = 666.

226266053832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 90396693 + ... + 90399195.

It is an arithmetic number, because the mean of its divisors is an integer number (1401648430).

Almost surely, 2^226266053832 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 226266053832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403674747840).

226266053832 is an abundant number, since it is smaller than the sum of its proper divisors (581083441848).

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

226266053832 is a wasteful number, since it uses less digits than its factorization.

226266053832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 226266053832 in words is "two hundred twenty-six billion, two hundred sixty-six million, fifty-three thousand, eight hundred thirty-two".