227266873344 has 432 divisors, whose sum is σ = 789974394300. Its totient is φ = 62687084544.

The previous prime is 227266873331. The next prime is 227266873349. The reversal of 227266873344 is 443378662722.

227266873344 is a `hidden beast` number, since 227 + 2 + 6 + 6 + 8 + 73 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224448537600 + 2818335744 = 473760^2 + 53088^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (227266873349) 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 35 ways as a sum of consecutive naturals, for example, 26187534 + ... + 26196210.

Almost surely, 2^227266873344 is an apocalyptic number.

227266873344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227266873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394987197150).

227266873344 is an abundant number, since it is smaller than the sum of its proper divisors (562707520956).

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

227266873344 is a wasteful number, since it uses less digits than its factorization.

227266873344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8718 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 227266873344 in words is "two hundred twenty-seven billion, two hundred sixty-six million, eight hundred seventy-three thousand, three hundred forty-four".