8971893977344 has 243 divisors, whose sum is σ = 19342519115367. Its totient is φ = 4152796406784.

The previous prime is 8971893977341. The next prime is 8971893977377. The reversal of 8971893977344 is 4437793981798.

The square root of 8971893977344 is 2995312.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8971893977341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53723915949 + ... + 53723916115.

Almost surely, 2^{8971893977344} is an apocalyptic number.

8971893977344 is the 2995312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8971893977344

8971893977344 is an abundant number, since it is smaller than the sum of its proper divisors (10370625138023).

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

8971893977344 is an frugal number, since it uses more digits than its factorization.

8971893977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 247 counting only the distinct ones).

The product of its digits is 2304433152, while the sum is 79.

The spelling of 8971893977344 in words is "eight trillion, nine hundred seventy-one billion, eight hundred ninety-three million, nine hundred seventy-seven thousand, three hundred forty-four".