48587561704457 has 2 divisors, whose sum is σ = 48587561704458. Its totient is φ = 48587561704456.

The previous prime is 48587561704447. The next prime is 48587561704463. The reversal of 48587561704457 is 75440716578584.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48267631195081 + 319930509376 = 6947491^2 + 565624^2 .

It is a cyclic number.

It is not a de Polignac number, because 48587561704457 - 2¹⁰ = 48587561703433 is a prime.

It is not a weakly prime, because it can be changed into another prime (48587561704447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24293780852228 + 24293780852229.

It is an arithmetic number, because the mean of its divisors is an integer number (24293780852229).

Almost surely, 2^{48587561704457} is an apocalyptic number.

It is an amenable number.

48587561704457 is a deficient number, since it is larger than the sum of its proper divisors (1).

48587561704457 is an equidigital number, since it uses as much as digits as its factorization.

48587561704457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1053696000, while the sum is 71.

The spelling of 48587561704457 in words is "forty-eight trillion, five hundred eighty-seven billion, five hundred sixty-one million, seven hundred four thousand, four hundred fifty-seven".