228518842486311 has 72 divisors (see below), whose sum is σ = 362785522591440. Its totient is φ = 138518948924928.

The previous prime is 228518842486283. The next prime is 228518842486381. The reversal of 228518842486311 is 113684248815822.

228518842486311 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 1 + 88 + 42 + 486 + 31 + 1 = 666.

It is not a de Polignac number, because 228518842486311 - 2⁶ = 228518842486247 is a prime.

It is a super-3 number, since 3×228518842486311³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228518842486381) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1751614195 + ... + 1751744651.

It is an arithmetic number, because the mean of its divisors is an integer number (5038687813770).

Almost surely, 2^{228518842486311} is an apocalyptic number.

228518842486311 is a deficient number, since it is larger than the sum of its proper divisors (134266680105129).

228518842486311 is a wasteful number, since it uses less digits than its factorization.

228518842486311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147745 (or 147729 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 63.

The spelling of 228518842486311 in words is "two hundred twenty-eight trillion, five hundred eighteen billion, eight hundred forty-two million, four hundred eighty-six thousand, three hundred eleven".