1971317089296 has 225 divisors, whose sum is σ = 5847784247151. Its totient is φ = 641116534464.

The previous prime is 1971317089289. The next prime is 1971317089309. The reversal of 1971317089296 is 6929807131791.

The square root of 1971317089296 is 1404036.

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

1971317089296 is a `hidden beast` number, since 1 + 97 + 13 + 170 + 89 + 296 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2173447275 + ... + 2173448181.

Almost surely, 2^{1971317089296} is an apocalyptic number.

1971317089296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1971317089296 is the 1404036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971317089296

1971317089296 is an abundant number, since it is smaller than the sum of its proper divisors (3876467157855).

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

1971317089296 is an frugal number, since it uses more digits than its factorization.

1971317089296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 1971317089296 in words is "one trillion, nine hundred seventy-one billion, three hundred seventeen million, eighty-nine thousand, two hundred ninety-six".