18220954497201 has 15 divisors (see below), whose sum is σ = 27219014107131. Its totient is φ = 12147277386528.

The previous prime is 18220954497173. The next prime is 18220954497217. The reversal of 18220954497201 is 10279445902281.

The square root of 18220954497201 is 4268601.

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

18220954497201 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 0 + 9 + 544 + 97 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141790655601 + 18079163841600 = 376551^2 + 4251960^2 .

It is not a de Polignac number, because 18220954497201 - 2¹³ = 18220954489009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18220954497281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38180265 + ... + 38654553.

Almost surely, 2^{18220954497201} is an apocalyptic number.

18220954497201 is the 4268601-st square number.

18220954497201 is the 2134301-st centered octagonal number.

It is an amenable number.

18220954497201 is a deficient number, since it is larger than the sum of its proper divisors (8998059609930).

18220954497201 is an frugal number, since it uses more digits than its factorization.

18220954497201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948590 (or 474292 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 18220954497201 in words is "eighteen trillion, two hundred twenty billion, nine hundred fifty-four million, four hundred ninety-seven thousand, two hundred one".