820224320001 has 16 divisors (see below), whose sum is σ = 1094226118080. Its totient is φ = 546519456000.

The previous prime is 820224319951. The next prime is 820224320053. The reversal of 820224320001 is 100023422028.

It is not a de Polignac number, because 820224320001 - 2²¹ = 820222222849 is a prime.

It is a super-2 number, since 2×820224320001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820224320081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84650365 + ... + 84660053.

It is an arithmetic number, because the mean of its divisors is an integer number (68389132380).

Almost surely, 2^820224320001 is an apocalyptic number.

It is an amenable number.

820224320001 is a deficient number, since it is larger than the sum of its proper divisors (274001798079).

820224320001 is a wasteful number, since it uses less digits than its factorization.

820224320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22096.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 820224320001 its reverse (100023422028), we get a palindrome (920247742029).

The spelling of 820224320001 in words is "eight hundred twenty billion, two hundred twenty-four million, three hundred twenty thousand, one".