226903856256 has 960 divisors, whose sum is σ = 902442103200. Its totient is φ = 55808040960.

The previous prime is 226903856251. The next prime is 226903856293. The reversal of 226903856256 is 652658309622.

226903856256 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 0 + 3 + 8 + 5 + 625 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (226903856251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 106177620 + ... + 106179756.

Almost surely, 2^226903856256 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 226903856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451221051600).

226903856256 is an abundant number, since it is smaller than the sum of its proper divisors (675538246944).

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

226903856256 is a wasteful number, since it uses less digits than its factorization.

226903856256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 226903856256 in words is "two hundred twenty-six billion, nine hundred three million, eight hundred fifty-six thousand, two hundred fifty-six".