220384769596992 has 1344 divisors, whose sum is σ = 877844069007360. Its totient is φ = 50998516531200.

The previous prime is 220384769596793. The next prime is 220384769596993. The reversal of 220384769596992 is 299695967483022.

220384769596992 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 8 + 476 + 9 + 59 + 6 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (220384769596993) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6774175158 + ... + 6774207690.

It is an arithmetic number, because the mean of its divisors is an integer number (653157789440).

Almost surely, 2^{220384769596992} is an apocalyptic number.

220384769596992 is a gapful number since it is divisible by the number (22) 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 220384769596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438922034503680).

220384769596992 is an abundant number, since it is smaller than the sum of its proper divisors (657459299410368).

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

220384769596992 is a wasteful number, since it uses less digits than its factorization.

220384769596992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32992 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 220384769596992 in words is "two hundred twenty trillion, three hundred eighty-four billion, seven hundred sixty-nine million, five hundred ninety-six thousand, nine hundred ninety-two".