17881241013457 has 2 divisors, whose sum is σ = 17881241013458. Its totient is φ = 17881241013456.

The previous prime is 17881241013431. The next prime is 17881241013473. The reversal of 17881241013457 is 75431014218871.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9849906063936 + 8031334949521 = 3138456^2 + 2833961^2 .

It is a cyclic number.

It is not a de Polignac number, because 17881241013457 - 2¹¹ = 17881241011409 is a prime.

It is not a weakly prime, because it can be changed into another prime (17881241013487) 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, 8940620506728 + 8940620506729.

It is an arithmetic number, because the mean of its divisors is an integer number (8940620506729).

Almost surely, 2^{17881241013457} is an apocalyptic number.

It is an amenable number.

17881241013457 is a deficient number, since it is larger than the sum of its proper divisors (1).

17881241013457 is an equidigital number, since it uses as much as digits as its factorization.

17881241013457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1505280, while the sum is 52.

The spelling of 17881241013457 in words is "seventeen trillion, eight hundred eighty-one billion, two hundred forty-one million, thirteen thousand, four hundred fifty-seven".