11956729586833 has 2 divisors, whose sum is σ = 11956729586834. Its totient is φ = 11956729586832.

The previous prime is 11956729586831. The next prime is 11956729586897. The reversal of 11956729586833 is 33868592765911.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11823921819649 + 132807767184 = 3438593^2 + 364428^2 .

It is a cyclic number.

It is not a de Polignac number, because 11956729586833 - 2¹ = 11956729586831 is a prime.

Together with 11956729586831, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11956729586831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5978364793416 + 5978364793417.

It is an arithmetic number, because the mean of its divisors is an integer number (5978364793417).

Almost surely, 2^{11956729586833} is an apocalyptic number.

It is an amenable number.

11956729586833 is a deficient number, since it is larger than the sum of its proper divisors (1).

11956729586833 is an equidigital number, since it uses as much as digits as its factorization.

11956729586833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 587865600, while the sum is 73.

The spelling of 11956729586833 in words is "eleven trillion, nine hundred fifty-six billion, seven hundred twenty-nine million, five hundred eighty-six thousand, eight hundred thirty-three".