8282984016 has 20 divisors (see below), whose sum is σ = 21397708832. Its totient is φ = 2760994656.

The previous prime is 8282983993. The next prime is 8282984027. The reversal of 8282984016 is 6104892828.

It is a super-2 number, since 2×8282984016² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 172562167 = 8282984016 / (8 + 2 + 8 + 2 + 9 + 8 + 4 + 0 + 1 + 6).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 86281036 + ... + 86281131.

Almost surely, 2^8282984016 is an apocalyptic number.

It is an amenable number.

8282984016 is an abundant number, since it is smaller than the sum of its proper divisors (13114724816).

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

8282984016 is a wasteful number, since it uses less digits than its factorization.

8282984016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172562178 (or 172562172 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 8282984016 is about 91010.9005339470. The cubic root of 8282984016 is about 2023.3092845873.

The spelling of 8282984016 in words is "eight billion, two hundred eighty-two million, nine hundred eighty-four thousand, sixteen".