220269728802816 has 3072 divisors, whose sum is σ = 855606244147200. Its totient is φ = 55035507179520.

The previous prime is 220269728802797. The next prime is 220269728802847. The reversal of 220269728802816 is 618208827962022.

220269728802816 is a `hidden beast` number, since 2 + 20 + 269 + 72 + 8 + 8 + 0 + 281 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×220269728802816³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1734407313345 + ... + 1734407313471.

It is an arithmetic number, because the mean of its divisors is an integer number (278517657600).

Almost surely, 2^{220269728802816} 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 220269728802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427803122073600).

220269728802816 is an abundant number, since it is smaller than the sum of its proper divisors (635336515344384).

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

220269728802816 is a wasteful number, since it uses less digits than its factorization.

220269728802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 220269728802816 in words is "two hundred twenty trillion, two hundred sixty-nine billion, seven hundred twenty-eight million, eight hundred two thousand, eight hundred sixteen".