18519260166801 has 81 divisors (see below), whose sum is σ = 27938103878737. Its totient is φ = 11820926138880.

The previous prime is 18519260166779. The next prime is 18519260166863. The reversal of 18519260166801 is 10866106291581.

The square root of 18519260166801 is 4303401.

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

18519260166801 is a `hidden beast` number, since 1 + 8 + 519 + 2 + 60 + 1 + 6 + 68 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3477087443025 + 15042172723776 = 1864695^2 + 3878424^2 .

It is not a de Polignac number, because 18519260166801 - 2¹⁷ = 18519260035729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18519260165801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31229780761 + ... + 31229781353.

Almost surely, 2^{18519260166801} is an apocalyptic number.

18519260166801 is the 4303401-st square number.

18519260166801 is the 2151701-st centered octagonal number.

It is an amenable number.

18519260166801 is a deficient number, since it is larger than the sum of its proper divisors (9418843711936).

18519260166801 is an frugal number, since it uses more digits than its factorization.

18519260166801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 18519260166801 in words is "eighteen trillion, five hundred nineteen billion, two hundred sixty million, one hundred sixty-six thousand, eight hundred one".