8115707020864 has 21 divisors (see below), whose sum is σ = 16104651344481. Its totient is φ = 4057842115200.

The previous prime is 8115707020723. The next prime is 8115707020871. The reversal of 8115707020864 is 4680207075118.

The square root of 8115707020864 is 2848808.

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., 373066867264 + 7742640153600 = 610792^2 + 2782560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22612414 + ... + 22968514.

It is an arithmetic number, because the mean of its divisors is an integer number (766888159261).

Almost surely, 2^{8115707020864} is an apocalyptic number.

8115707020864 is the 2848808-th square number.

It is an amenable number.

8115707020864 is a deficient number, since it is larger than the sum of its proper divisors (7988944323617).

8115707020864 is an frugal number, since it uses more digits than its factorization.

8115707020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712214 (or 356103 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

Multiplying 8115707020864 by its sum of digits (49), we get a square (397669644022336 = 19941656²).

The spelling of 8115707020864 in words is "eight trillion, one hundred fifteen billion, seven hundred seven million, twenty thousand, eight hundred sixty-four".