18289743775801 has 27 divisors (see below), whose sum is σ = 18845679421413. Its totient is φ = 17749983376440.

The previous prime is 18289743775799. The next prime is 18289743775837. The reversal of 18289743775801 is 10857734798281.

The square root of 18289743775801 is 4276651.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 18289743775801 - 2¹ = 18289743775799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18289743775201) 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 in 26 ways as a sum of consecutive naturals, for example, 49835813920 + ... + 49835814286.

It is an arithmetic number, because the mean of its divisors is an integer number (697988126719).

Almost surely, 2^{18289743775801} is an apocalyptic number.

18289743775801 is the 4276651-st square number.

18289743775801 is the 2138326-th centered octagonal number.

It is an amenable number.

18289743775801 is a deficient number, since it is larger than the sum of its proper divisors (555935645612).

18289743775801 is an frugal number, since it uses more digits than its factorization.

18289743775801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 70.

The spelling of 18289743775801 in words is "eighteen trillion, two hundred eighty-nine billion, seven hundred forty-three million, seven hundred seventy-five thousand, eight hundred one".