218815648128 has 1024 divisors, whose sum is σ = 834865920000. Its totient is φ = 55924162560.

The previous prime is 218815648109. The next prime is 218815648157. The reversal of 218815648128 is 821846518812.

218815648128 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 156 + 481 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1264830250 + ... + 1264830422.

It is an arithmetic number, because the mean of its divisors is an integer number (815298750).

Almost surely, 2^218815648128 is an apocalyptic number.

218815648128 is a gapful number since it is divisible by the number (28) 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 218815648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417432960000).

218815648128 is an abundant number, since it is smaller than the sum of its proper divisors (616050271872).

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

218815648128 is a wasteful number, since it uses less digits than its factorization.

218815648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 54.

The spelling of 218815648128 in words is "two hundred eighteen billion, eight hundred fifteen million, six hundred forty-eight thousand, one hundred twenty-eight".