8284048137216 has 264 divisors, whose sum is σ = 25459763007744. Its totient is φ = 2585300828160.

The previous prime is 8284048137191. The next prime is 8284048137347. The reversal of 8284048137216 is 6127318404828.

8284048137216 is a `hidden beast` number, since 8 + 2 + 8 + 404 + 8 + 13 + 7 + 216 = 666.

It is a super-3 number, since 3×8284048137216³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29785936 + ... + 30062768.

Almost surely, 2^{8284048137216} 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 8284048137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729881503872).

8284048137216 is an abundant number, since it is smaller than the sum of its proper divisors (17175714870528).

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

8284048137216 is a wasteful number, since it uses less digits than its factorization.

8284048137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277067 (or 277046 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 8284048137216 in words is "eight trillion, two hundred eighty-four billion, forty-eight million, one hundred thirty-seven thousand, two hundred sixteen".