418256228673 has 48 divisors (see below), whose sum is σ = 643981193856. Its totient is φ = 260679098880.

The previous prime is 418256228669. The next prime is 418256228713. The reversal of 418256228673 is 376822652814.

418256228673 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 5 + 622 + 8 + 6 + 7 + 3 = 666.

It is not a de Polignac number, because 418256228673 - 2² = 418256228669 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (418256228653) 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 47 ways as a sum of consecutive naturals, for example, 13747308 + ... + 13777698.

It is an arithmetic number, because the mean of its divisors is an integer number (13416274872).

Almost surely, 2^418256228673 is an apocalyptic number.

It is an amenable number.

418256228673 is a deficient number, since it is larger than the sum of its proper divisors (225724965183).

418256228673 is a wasteful number, since it uses less digits than its factorization.

418256228673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31014 (or 31011 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 418256228673 in words is "four hundred eighteen billion, two hundred fifty-six million, two hundred twenty-eight thousand, six hundred seventy-three".