8971199078416 has 75 divisors (see below), whose sum is σ = 18475171862683. Its totient is φ = 4220111356160.

The previous prime is 8971199078357. The next prime is 8971199078419. The reversal of 8971199078416 is 6148709911798.

The square root of 8971199078416 is 2995196.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2784239308816 + 6186959769600 = 1668604^2 + 2487360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8971199078419) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3462445281 + ... + 3462447871.

Almost surely, 2^{8971199078416} is an apocalyptic number.

8971199078416 is the 2995196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8971199078416

8971199078416 is an abundant number, since it is smaller than the sum of its proper divisors (9503972784267).

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

8971199078416 is an frugal number, since it uses more digits than its factorization.

8971199078416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 70.

The spelling of 8971199078416 in words is "eight trillion, nine hundred seventy-one billion, one hundred ninety-nine million, seventy-eight thousand, four hundred sixteen".