216418884048432 has 800 divisors, whose sum is σ = 700386904369152. Its totient is φ = 64082514659328.

The previous prime is 216418884048427. The next prime is 216418884048449. The reversal of 216418884048432 is 234840488814612.

216418884048432 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 1 + 8 + 88 + 40 + 484 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216418884048432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48491793433 + ... + 48491797895.

Almost surely, 2^{216418884048432} 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 216418884048432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350193452184576).

216418884048432 is an abundant number, since it is smaller than the sum of its proper divisors (483968020320720).

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

216418884048432 is a wasteful number, since it uses less digits than its factorization.

216418884048432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 63.

The spelling of 216418884048432 in words is "two hundred sixteen trillion, four hundred eighteen billion, eight hundred eighty-four million, forty-eight thousand, four hundred thirty-two".