291968396281 has 9 divisors (see below), whose sum is σ = 308154766341. Its totient is φ = 276591912444.

The previous prime is 291968396267. The next prime is 291968396297. The reversal of 291968396281 is 182693869192.

The square root of 291968396281 is 540341.

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

It is not a de Polignac number, because 291968396281 - 2¹⁷ = 291968265209 is a prime.

It is a super-2 number, since 2×291968396281² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (291968396381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10252260 + ... + 10280698.

Almost surely, 2^291968396281 is an apocalyptic number.

291968396281 is the 540341-st square number.

291968396281 is the 270171-st centered octagonal number.

It is an amenable number.

291968396281 is a deficient number, since it is larger than the sum of its proper divisors (16186370060).

291968396281 is an frugal number, since it uses more digits than its factorization.

291968396281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56916 (or 28458 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 64.

Multiplying 291968396281 by its sum of digits (64), we get a square (18685977361984 = 4322728²).

The spelling of 291968396281 in words is "two hundred ninety-one billion, nine hundred sixty-eight million, three hundred ninety-six thousand, two hundred eighty-one".