226045460736 has 648 divisors, whose sum is σ = 733009665024. Its totient is φ = 66880143360.

The previous prime is 226045460723. The next prime is 226045460743. The reversal of 226045460736 is 637064540622.

226045460736 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 4 + 5 + 4 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 226045460691 and 226045460700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 970152076 + ... + 970152308.

Almost surely, 2^226045460736 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 226045460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366504832512).

226045460736 is an abundant number, since it is smaller than the sum of its proper divisors (506964204288).

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

226045460736 is a wasteful number, since it uses less digits than its factorization.

226045460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 226045460736 in words is "two hundred twenty-six billion, forty-five million, four hundred sixty thousand, seven hundred thirty-six".