218042385408 has 176 divisors, whose sum is σ = 648141118720. Its totient is φ = 72410112000.

The previous prime is 218042385367. The next prime is 218042385433. The reversal of 218042385408 is 804583240812.

218042385408 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 4 + 238 + 5 + 408 = 666.

218042385408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218042385408² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7478058 + ... + 7507158.

Almost surely, 2^218042385408 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 218042385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324070559360).

218042385408 is an abundant number, since it is smaller than the sum of its proper divisors (430098733312).

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

218042385408 is a wasteful number, since it uses less digits than its factorization.

218042385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29401 (or 29377 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 218042385408 in words is "two hundred eighteen billion, forty-two million, three hundred eighty-five thousand, four hundred eight".