17882442685057 has 2 divisors, whose sum is σ = 17882442685058. Its totient is φ = 17882442685056.

The previous prime is 17882442684983. The next prime is 17882442685103. The reversal of 17882442685057 is 75058624428871.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11453357886961 + 6429084798096 = 3384281^2 + 2535564^2 .

It is a cyclic number.

It is not a de Polignac number, because 17882442685057 - 2¹⁹ = 17882442160769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17882442684983 and 17882442685001.

It is not a weakly prime, because it can be changed into another prime (17882442685957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8941221342528 + 8941221342529.

It is an arithmetic number, because the mean of its divisors is an integer number (8941221342529).

Almost surely, 2^{17882442685057} is an apocalyptic number.

It is an amenable number.

17882442685057 is a deficient number, since it is larger than the sum of its proper divisors (1).

17882442685057 is an equidigital number, since it uses as much as digits as its factorization.

17882442685057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240844800, while the sum is 67.

The spelling of 17882442685057 in words is "seventeen trillion, eight hundred eighty-two billion, four hundred forty-two million, six hundred eighty-five thousand, fifty-seven".