221984934912 has 880 divisors, whose sum is σ = 765650054400. Its totient is φ = 63541739520.

The previous prime is 221984934893. The next prime is 221984934917. The reversal of 221984934912 is 219439489122.

It is a happy number.

221984934912 is a `hidden beast` number, since 2 + 21 + 98 + 49 + 3 + 491 + 2 = 666.

221984934912 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 2×221984934912² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221984934917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 969366414 + ... + 969366642.

It is an arithmetic number, because the mean of its divisors is an integer number (870056880).

Almost surely, 2^221984934912 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 221984934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382825027200).

221984934912 is an abundant number, since it is smaller than the sum of its proper divisors (543665119488).

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

221984934912 is a wasteful number, since it uses less digits than its factorization.

221984934912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 307 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 221984934912 in words is "two hundred twenty-one billion, nine hundred eighty-four million, nine hundred thirty-four thousand, nine hundred twelve".