8284983243264 has 1120 divisors, whose sum is σ = 30677726749824. Its totient is φ = 2175707381760.

The previous prime is 8284983243223. The next prime is 8284983243391. The reversal of 8284983243264 is 4623423894828.

8284983243264 is a `hidden beast` number, since 8 + 2 + 8 + 49 + 8 + 324 + 3 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11989845159 + ... + 11989845849.

Almost surely, 2^{8284983243264} is an apocalyptic number.

8284983243264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8284983243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338863374912).

8284983243264 is an abundant number, since it is smaller than the sum of its proper divisors (22392743506560).

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

8284983243264 is an equidigital number, since it uses as much as digits as its factorization.

8284983243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1069 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 8284983243264 in words is "eight trillion, two hundred eighty-four billion, nine hundred eighty-three million, two hundred forty-three thousand, two hundred sixty-four".