822008162432 has 72 divisors (see below), whose sum is σ = 1653210339255. Its totient is φ = 407121603840.

The previous prime is 822008162431. The next prime is 822008162449. The reversal of 822008162432 is 234261800228.

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 only one way, i.e., 411004081216 + 411004081216 = 641096^2 + 641096^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=641096.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (822008162431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1302706757 + ... + 1302707387.

Almost surely, 2^822008162432 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 822008162432

822008162432 is an abundant number, since it is smaller than the sum of its proper divisors (831202176823).

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

822008162432 is an frugal number, since it uses more digits than its factorization.

822008162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 822008162432 in words is "eight hundred twenty-two billion, eight million, one hundred sixty-two thousand, four hundred thirty-two".