218427080832 has 96 divisors (see below), whose sum is σ = 628830743580. Its totient is φ = 72776122368.

The previous prime is 218427080801. The next prime is 218427080929. The reversal of 218427080832 is 238080724812.

218427080832 is a `hidden beast` number, since 218 + 427 + 0 + 8 + 0 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218103944256 + 323136576 = 467016^2 + 17976^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2576788 + ... + 2660204.

Almost surely, 2^218427080832 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 218427080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314415371790).

218427080832 is an abundant number, since it is smaller than the sum of its proper divisors (410403662748).

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

218427080832 is a wasteful number, since it uses less digits than its factorization.

218427080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85710 (or 85695 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 218427080832 in words is "two hundred eighteen billion, four hundred twenty-seven million, eighty thousand, eight hundred thirty-two".