4306328890227 has 256 divisors, whose sum is σ = 8783670067200. Its totient is φ = 2020190699520.

The previous prime is 4306328890219. The next prime is 4306328890249. The reversal of 4306328890227 is 7220988236034.

4306328890227 is a `hidden beast` number, since 4 + 3 + 0 + 6 + 328 + 8 + 90 + 227 = 666.

It is not a de Polignac number, because 4306328890227 - 2³ = 4306328890219 is a prime.

It is a super-2 number, since 2×4306328890227² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4306328890207) 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 255 ways as a sum of consecutive naturals, for example, 56893327 + ... + 56968967.

It is an arithmetic number, because the mean of its divisors is an integer number (34311211200).

Almost surely, 2^{4306328890227} is an apocalyptic number.

4306328890227 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4306328890227 is an abundant number, since it is smaller than the sum of its proper divisors (4477341176973).

4306328890227 is a wasteful number, since it uses less digits than its factorization.

4306328890227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75763 (or 75757 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4306328890227 in words is "four trillion, three hundred six billion, three hundred twenty-eight million, eight hundred ninety thousand, two hundred twenty-seven".