18419985006201 has 9 divisors (see below), whose sum is σ = 26606663606991. Its totient is φ = 12279981420432.

The previous prime is 18419985006161. The next prime is 18419985006253. The reversal of 18419985006201 is 10260058991481.

The square root of 18419985006201 is 4291851.

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

18419985006201 is a `hidden beast` number, since 1 + 8 + 4 + 1 + 9 + 9 + 8 + 5 + 0 + 0 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5939139591225 + 12480845414976 = 2437035^2 + 3532824^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 18419985006201 - 2¹¹ = 18419985004153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18419985006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12160245 + ... + 13590861.

Almost surely, 2^{18419985006201} is an apocalyptic number.

18419985006201 is the 4291851-st square number.

18419985006201 is the 2145926-th centered octagonal number.

It is an amenable number.

18419985006201 is a deficient number, since it is larger than the sum of its proper divisors (8186678600790).

18419985006201 is an frugal number, since it uses more digits than its factorization.

18419985006201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861240 (or 1430620 counting only the distinct ones).

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

The spelling of 18419985006201 in words is "eighteen trillion, four hundred nineteen billion, nine hundred eighty-five million, six thousand, two hundred one".