218628336256 has 128 divisors (see below), whose sum is σ = 519324203520. Its totient is φ = 90513408000.

The previous prime is 218628336167. The next prime is 218628336257. The reversal of 218628336256 is 652633826812.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (218628336257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594696 + ... + 889336.

It is an arithmetic number, because the mean of its divisors is an integer number (4057220340).

Almost surely, 2^218628336256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218628336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259662101760).

218628336256 is an abundant number, since it is smaller than the sum of its proper divisors (300695867264).

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

218628336256 is a wasteful number, since it uses less digits than its factorization.

218628336256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294714 (or 294702 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 218628336256 in words is "two hundred eighteen billion, six hundred twenty-eight million, three hundred thirty-six thousand, two hundred fifty-six".