18201000020181 has 16 divisors (see below), whose sum is σ = 26476673576448. Its totient is φ = 11029870882800.

The previous prime is 18201000020129. The next prime is 18201000020197. The reversal of 18201000020181 is 18102000010281.

It is not a de Polignac number, because 18201000020181 - 2¹⁰ = 18201000019157 is a prime.

It is a super-2 number, since 2×18201000020181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18201000020381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25599505 + ... + 26300886.

It is an arithmetic number, because the mean of its divisors is an integer number (1654792098528).

Almost surely, 2^{18201000020181} is an apocalyptic number.

18201000020181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18201000020181 is a deficient number, since it is larger than the sum of its proper divisors (8275673556267).

18201000020181 is a wasteful number, since it uses less digits than its factorization.

18201000020181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51911032.

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 18201000020181 in words is "eighteen trillion, two hundred one billion, twenty thousand, one hundred eighty-one".