8213447983104 has 1200 divisors, whose sum is σ = 31524592796928. Its totient is φ = 2071301455872.

The previous prime is 8213447983079. The next prime is 8213447983133. The reversal of 8213447983104 is 4013897443128.

8213447983104 is a `hidden beast` number, since 8 + 2 + 1 + 3 + 447 + 98 + 3 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 2777627194 + ... + 2777630150.

Almost surely, 2^{8213447983104} is an apocalyptic number.

8213447983104 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 8213447983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762296398464).

8213447983104 is an abundant number, since it is smaller than the sum of its proper divisors (23311144813824).

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

8213447983104 is a wasteful number, since it uses less digits than its factorization.

8213447983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8213447983104 in words is "eight trillion, two hundred thirteen billion, four hundred forty-seven million, nine hundred eighty-three thousand, one hundred four".