291141396133956 has 189 divisors, whose sum is σ = 811518717985549. Its totient is φ = 91333563113088.

The previous prime is 291141396133813. The next prime is 291141396134009. The reversal of 291141396133956 is 659331693141192.

It is a happy number.

The square root of 291141396133956 is 17062866.

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

291141396133956 is a `hidden beast` number, since 2 + 9 + 1 + 1 + 4 + 1 + 3 + 9 + 613 + 3 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226667176920900 + 64474219213056 = 15055470^2 + 8029584^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 291141396133893 and 291141396133902.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 15663701695 + ... + 15663720281.

Almost surely, 2^{291141396133956} is an apocalyptic number.

291141396133956 is the 17062866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291141396133956

291141396133956 is an abundant number, since it is smaller than the sum of its proper divisors (520377321851593).

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

291141396133956 is an frugal number, since it uses more digits than its factorization.

291141396133956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37230 (or 18609 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 291141396133956 in words is "two hundred ninety-one trillion, one hundred forty-one billion, three hundred ninety-six million, one hundred thirty-three thousand, nine hundred fifty-six".