228518786806464 has 1792 divisors, whose sum is σ = 824272522444800. Its totient is φ = 55254743470080.

The previous prime is 228518786806451. The next prime is 228518786806483. The reversal of 228518786806464 is 464608687815822.

228518786806464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 334580946667 + ... + 334580947349.

Almost surely, 2^{228518786806464} is an apocalyptic number.

228518786806464 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 228518786806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412136261222400).

228518786806464 is an abundant number, since it is smaller than the sum of its proper divisors (595753735638336).

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

228518786806464 is a wasteful number, since it uses less digits than its factorization.

228518786806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 75.

The spelling of 228518786806464 in words is "two hundred twenty-eight trillion, five hundred eighteen billion, seven hundred eighty-six million, eight hundred six thousand, four hundred sixty-four".