216944448000 has 1280 divisors, whose sum is σ = 878535770112. Its totient is φ = 46448640000.

The previous prime is 216944447999. The next prime is 216944448013. The reversal of 216944448000 is 844449612.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×216944448000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 1708223937 + ... + 1708224063.

Almost surely, 2^216944448000 is an apocalyptic number.

216944448000 is a gapful number since it is divisible by the number (20) 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 216944448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439267885056).

216944448000 is an abundant number, since it is smaller than the sum of its proper divisors (661591322112).

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

216944448000 is a wasteful number, since it uses less digits than its factorization.

216944448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 216944448000 in words is "two hundred sixteen billion, nine hundred forty-four million, four hundred forty-eight thousand".