8135067657616 has 45 divisors (see below), whose sum is σ = 16635360874881. Its totient is φ = 3853350421632.

The previous prime is 8135067657611. The next prime is 8135067657643. The reversal of 8135067657616 is 6167567605318.

It is a happy number.

The square root of 8135067657616 is 2852204.

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., 227723657616 + 7907344000000 = 477204^2 + 2812000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8135067657611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216748740 + ... + 216786268.

Almost surely, 2^{8135067657616} is an apocalyptic number.

8135067657616 is the 2852204-th square number.

It is an amenable number.

8135067657616 is an abundant number, since it is smaller than the sum of its proper divisors (8500293217265).

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

8135067657616 is an frugal number, since it uses more digits than its factorization.

8135067657616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75104 (or 37550 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 8135067657616 in words is "eight trillion, one hundred thirty-five billion, sixty-seven million, six hundred fifty-seven thousand, six hundred sixteen".