7971847314916 has 27 divisors (see below), whose sum is σ = 14183795404233. Its totient is φ = 3920411239920.

The previous prime is 7971847314913. The next prime is 7971847314941. The reversal of 7971847314916 is 6194137481797.

The square root of 7971847314916 is 2823446.

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., 259229649316 + 7712617665600 = 509146^2 + 2777160^2 .

It is a super-2 number, since 2×7971847314916² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7971847314913) 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, 344448841 + ... + 344471983.

Almost surely, 2^{7971847314916} is an apocalyptic number.

7971847314916 is the 2823446-th square number.

It is an amenable number.

7971847314916 is a deficient number, since it is larger than the sum of its proper divisors (6211948089317).

7971847314916 is an frugal number, since it uses more digits than its factorization.

7971847314916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46412 (or 23206 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 67.

The spelling of 7971847314916 in words is "seven trillion, nine hundred seventy-one billion, eight hundred forty-seven million, three hundred fourteen thousand, nine hundred sixteen".