226838012938272 has 72 divisors (see below), whose sum is σ = 673117147108224. Its totient is φ = 72325163543424.

The previous prime is 226838012938217. The next prime is 226838012938279. The reversal of 226838012938272 is 272839210838622.

It is a happy number.

226838012938272 is a `hidden beast` number, since 2 + 2 + 68 + 3 + 8 + 0 + 129 + 382 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×226838012938272² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226838012938279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17122427928 + ... + 17122441175.

It is an arithmetic number, because the mean of its divisors is an integer number (9348849265392).

Almost surely, 2^{226838012938272} is an apocalyptic number.

It is an amenable number.

226838012938272 is an abundant number, since it is smaller than the sum of its proper divisors (446279134169952).

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

226838012938272 is a wasteful number, since it uses less digits than its factorization.

226838012938272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34244869142 (or 34244869131 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 226838012938272 in words is "two hundred twenty-six trillion, eight hundred thirty-eight billion, twelve million, nine hundred thirty-eight thousand, two hundred seventy-two".