8611971067456 has 189 divisors, whose sum is σ = 18358246660243. Its totient is φ = 4007981148160.

The previous prime is 8611971067439. The next prime is 8611971067459. The reversal of 8611971067456 is 6547601791168.

The square root of 8611971067456 is 2934616.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4793542421056 + 3818428646400 = 2189416^2 + 1954080^2 .

It is a super-2 number, since 2×8611971067456² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8611971067394 and 8611971067403.

It is not an unprimeable number, because it can be changed into a prime (8611971067459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22138742910 + ... + 22138743298.

Almost surely, 2^{8611971067456} is an apocalyptic number.

8611971067456 is the 2934616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8611971067456

8611971067456 is an abundant number, since it is smaller than the sum of its proper divisors (9746275592787).

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

8611971067456 is an frugal number, since it uses more digits than its factorization.

8611971067456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 61.

The spelling of 8611971067456 in words is "eight trillion, six hundred eleven billion, nine hundred seventy-one million, sixty-seven thousand, four hundred fifty-six".