47712441146441 has 2 divisors, whose sum is σ = 47712441146442. Its totient is φ = 47712441146440.

The previous prime is 47712441146429. The next prime is 47712441146443. The reversal of 47712441146441 is 14464114421774.

47712441146441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40756541287225 + 6955899859216 = 6384085^2 + 2637404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47712441146441 is a prime.

Together with 47712441146443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47712441146441.

It is not a weakly prime, because it can be changed into another prime (47712441146443) 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 as a sum of consecutive naturals, namely, 23856220573220 + 23856220573221.

It is an arithmetic number, because the mean of its divisors is an integer number (23856220573221).

Almost surely, 2^{47712441146441} is an apocalyptic number.

It is an amenable number.

47712441146441 is a deficient number, since it is larger than the sum of its proper divisors (1).

47712441146441 is an equidigital number, since it uses as much as digits as its factorization.

47712441146441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2408448, while the sum is 50.

The spelling of 47712441146441 in words is "forty-seven trillion, seven hundred twelve billion, four hundred forty-one million, one hundred forty-six thousand, four hundred forty-one".