8139917126916 has 135 divisors (see below), whose sum is σ = 21992226102693. Its totient is φ = 2625266168640.

The previous prime is 8139917126899. The next prime is 8139917126917. The reversal of 8139917126916 is 6196217199318.

The square root of 8139917126916 is 2853054.

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

8139917126916 is a `hidden beast` number, since 8 + 1 + 399 + 171 + 2 + 69 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79405604100 + 8060511522816 = 281790^2 + 2839104^2 .

It is not an unprimeable number, because it can be changed into a prime (8139917126917) 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 44 ways as a sum of consecutive naturals, for example, 1592001576 + ... + 1592006688.

Almost surely, 2^{8139917126916} is an apocalyptic number.

8139917126916 is the 2853054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8139917126916

8139917126916 is an abundant number, since it is smaller than the sum of its proper divisors (13852308975777).

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

8139917126916 is an frugal number, since it uses more digits than its factorization.

8139917126916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 5149 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 8139917126916 in words is "eight trillion, one hundred thirty-nine billion, nine hundred seventeen million, one hundred twenty-six thousand, nine hundred sixteen".