218042169408 has 448 divisors, whose sum is σ = 771704832000. Its totient is φ = 60283077120.

The previous prime is 218042169349. The next prime is 218042169437. The reversal of 218042169408 is 804961240812.

218042169408 is a `hidden beast` number, since 2 + 1 + 80 + 4 + 2 + 169 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18367891 + ... + 18379757.

Almost surely, 2^218042169408 is an apocalyptic number.

218042169408 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 218042169408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385852416000).

218042169408 is an abundant number, since it is smaller than the sum of its proper divisors (553662662592).

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

218042169408 is a wasteful number, since it uses less digits than its factorization.

218042169408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11940 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 218042169408 in words is "two hundred eighteen billion, forty-two million, one hundred sixty-nine thousand, four hundred eight".