8124460918336 has 189 divisors, whose sum is σ = 19613848979361. Its totient is φ = 3329019369984.

The previous prime is 8124460918309. The next prime is 8124460918339. The reversal of 8124460918336 is 6338190644218.

The square root of 8124460918336 is 2850344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8065827201600 + 58633716736 = 2840040^2 + 242144^2 .

It is a super-2 number, since 2×8124460918336² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8124460918339) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3671241966 + ... + 3671244178.

Almost surely, 2^{8124460918336} is an apocalyptic number.

8124460918336 is the 2850344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8124460918336

8124460918336 is an abundant number, since it is smaller than the sum of its proper divisors (11489388061025).

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

8124460918336 is an frugal number, since it uses more digits than its factorization.

8124460918336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 8124460918336 in words is "eight trillion, one hundred twenty-four billion, four hundred sixty million, nine hundred eighteen thousand, three hundred thirty-six".