8022829473 has 24 divisors (see below), whose sum is σ = 12126322728. Its totient is φ = 5105797632.

The previous prime is 8022829469. The next prime is 8022829489. The reversal of 8022829473 is 3749282208.

8022829473 is a `hidden beast` number, since 80 + 22 + 82 + 9 + 473 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1681574049 + 6341255424 = 41007^2 + 79632^2 .

It is not a de Polignac number, because 8022829473 - 2² = 8022829469 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8022829273) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 209640 + ... + 244937.

It is an arithmetic number, because the mean of its divisors is an integer number (505263447).

Almost surely, 2^8022829473 is an apocalyptic number.

It is an amenable number.

8022829473 is a deficient number, since it is larger than the sum of its proper divisors (4103493255).

8022829473 is a wasteful number, since it uses less digits than its factorization.

8022829473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454673 (or 454670 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8022829473 is about 89570.2488162225. The cubic root of 8022829473 is about 2001.9006492773.

The spelling of 8022829473 in words is "eight billion, twenty-two million, eight hundred twenty-nine thousand, four hundred seventy-three".