8216662517056 has 84 divisors (see below), whose sum is σ = 18976388814228. Its totient is φ = 3519678210048.

The previous prime is 8216662517051. The next prime is 8216662517057. The reversal of 8216662517056 is 6507152666128.

It can be written as a sum of positive squares in 2 ways, for example, as 7685536398400 + 531126118656 = 2772280^2 + 728784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8216662516988 and 8216662517006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216662517051) 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 11 ways as a sum of consecutive naturals, for example, 5675806 + ... + 6974818.

Almost surely, 2^{8216662517056} 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 8216662517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488194407114).

8216662517056 is an abundant number, since it is smaller than the sum of its proper divisors (10759726297172).

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

8216662517056 is a wasteful number, since it uses less digits than its factorization.

8216662517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301056 (or 1301039 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 8216662517056 in words is "eight trillion, two hundred sixteen billion, six hundred sixty-two million, five hundred seventeen thousand, fifty-six".