227268818996688 has 3360 divisors, whose sum is σ = 870422761520640. Its totient is φ = 56056982446080.

The previous prime is 227268818996683. The next prime is 227268818996743. The reversal of 227268818996688 is 886699818862722.

227268818996688 is a `hidden beast` number, since 2 + 2 + 7 + 268 + 8 + 189 + 96 + 6 + 88 = 666.

227268818996688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×227268818996688² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 227268818996598 and 227268818996607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227268818996683) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3725718344178 + ... + 3725718344238.

Almost surely, 2^{227268818996688} is an apocalyptic number.

227268818996688 is a gapful number since it is divisible by the number (28) 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 227268818996688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435211380760320).

227268818996688 is an abundant number, since it is smaller than the sum of its proper divisors (643153942523952).

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

227268818996688 is a wasteful number, since it uses less digits than its factorization.

227268818996688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 205 counting only the distinct ones).

The product of its digits is 32105299968, while the sum is 90.

The spelling of 227268818996688 in words is "two hundred twenty-seven trillion, two hundred sixty-eight billion, eight hundred eighteen million, nine hundred ninety-six thousand, six hundred eighty-eight".