47555617242457 has 2 divisors, whose sum is σ = 47555617242458. Its totient is φ = 47555617242456.

The previous prime is 47555617242439. The next prime is 47555617242533. The reversal of 47555617242457 is 75424271655574.

47555617242457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42450710807241 + 5104906435216 = 6515421^2 + 2259404^2 .

It is a cyclic number.

It is not a de Polignac number, because 47555617242457 - 2¹⁵ = 47555617209689 is a prime.

It is a super-2 number, since 2×47555617242457² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (47555617242157) 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, 23777808621228 + 23777808621229.

It is an arithmetic number, because the mean of its divisors is an integer number (23777808621229).

Almost surely, 2^{47555617242457} is an apocalyptic number.

It is an amenable number.

47555617242457 is a deficient number, since it is larger than the sum of its proper divisors (1).

47555617242457 is an equidigital number, since it uses as much as digits as its factorization.

47555617242457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 329280000, while the sum is 64.

The spelling of 47555617242457 in words is "forty-seven trillion, five hundred fifty-five billion, six hundred seventeen million, two hundred forty-two thousand, four hundred fifty-seven".