971738549824 has 189 divisors, whose sum is σ = 2326966755633. Its totient is φ = 401436274176.

The previous prime is 971738549797. The next prime is 971738549827. The reversal of 971738549824 is 428945837179.

The square root of 971738549824 is 985768.

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., 509556124224 + 462182425600 = 713832^2 + 679840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 971738549824.

It is not an unprimeable number, because it can be changed into a prime (971738549827) 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, 1600886929 + ... + 1600887535.

Almost surely, 2^971738549824 is an apocalyptic number.

971738549824 is the 985768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971738549824

971738549824 is an abundant number, since it is smaller than the sum of its proper divisors (1355228205809).

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

971738549824 is an frugal number, since it uses more digits than its factorization.

971738549824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 645 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 67.

The spelling of 971738549824 in words is "nine hundred seventy-one billion, seven hundred thirty-eight million, five hundred forty-nine thousand, eight hundred twenty-four".