11727945072641 has 32 divisors (see below), whose sum is σ = 13876133088000. Its totient is φ = 9906326801280.

The previous prime is 11727945072637. The next prime is 11727945072661. The reversal of 11727945072641 is 14627054972711.

It is not a de Polignac number, because 11727945072641 - 2² = 11727945072637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11727945072631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29120675 + ... + 29520663.

It is an arithmetic number, because the mean of its divisors is an integer number (433629159000).

It is a Proth number, since it is equal to 21845 ⋅ 2²⁹ + 1 and 21845 < 2²⁹.

Almost surely, 2^{11727945072641} is an apocalyptic number.

It is an amenable number.

11727945072641 is a deficient number, since it is larger than the sum of its proper divisors (2148188015359).

11727945072641 is an equidigital number, since it uses as much as digits as its factorization.

11727945072641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401254 (or 401240 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 11727945072641 in words is "eleven trillion, seven hundred twenty-seven billion, nine hundred forty-five million, seventy-two thousand, six hundred forty-one".