820229443208 has 108 divisors (see below), whose sum is σ = 1806994198485. Its totient is φ = 348030309312.

The previous prime is 820229443183. The next prime is 820229443223. The reversal of 820229443208 is 802344922028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 673906362724 + 146323080484 = 820918^2 + 382522^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=640402.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2671756991 + ... + 2671757297.

Almost surely, 2^820229443208 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 820229443208

820229443208 is an abundant number, since it is smaller than the sum of its proper divisors (986764755277).

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

820229443208 is an equidigital number, since it uses as much as digits as its factorization.

820229443208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 820229443208 in words is "eight hundred twenty billion, two hundred twenty-nine million, four hundred forty-three thousand, two hundred eight".