971848958976 has 693 divisors, whose sum is σ = 3409263419751. Its totient is φ = 275967627264.

The previous prime is 971848958939. The next prime is 971848958987. The reversal of 971848958976 is 679859848179.

The square root of 971848958976 is 985824.

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

971848958976 is a `hidden beast` number, since 9 + 7 + 18 + 489 + 58 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (2194698240) is a multiple of the sum of its prime factors (378).

It is a junction number, because it is equal to n+sod(n) for n = 971848958895 and 971848958904.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5962263471 + ... + 5962263633.

Almost surely, 2^971848958976 is an apocalyptic number.

971848958976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

971848958976 is the 985824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971848958976

971848958976 is an abundant number, since it is smaller than the sum of its proper divisors (2437414460775).

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

971848958976 is an frugal number, since it uses more digits than its factorization.

971848958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 175 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 81.

Multiplying 971848958976 by its sum of digits (81), we get a square (78719765677056 = 8872416²).

971848958976 divided by its sum of digits (81) gives a square (11998135296 = 109536²).

The spelling of 971848958976 in words is "nine hundred seventy-one billion, eight hundred forty-eight million, nine hundred fifty-eight thousand, nine hundred seventy-six".