18728196201 has 135 divisors (see below), whose sum is σ = 33371315445. Its totient is φ = 10116025920.

The previous prime is 18728196169. The next prime is 18728196211. The reversal of 18728196201 is 10269182781.

The square root of 18728196201 is 136851.

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

18728196201 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 8 + 19 + 620 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2401490025 + 16326706176 = 49005^2 + 127776^2 .

It is not a de Polignac number, because 18728196201 - 2⁵ = 18728196169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18728196211) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 645799855 + ... + 645799883.

Almost surely, 2^18728196201 is an apocalyptic number.

18728196201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18728196201 is the 136851-st square number.

18728196201 is the 68426-th centered octagonal number.

It is an amenable number.

18728196201 is a deficient number, since it is larger than the sum of its proper divisors (14643119244).

18728196201 is an equidigital number, since it uses as much as digits as its factorization.

18728196201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 18728196201 in words is "eighteen billion, seven hundred twenty-eight million, one hundred ninety-six thousand, two hundred one".