22001737741201 has 27 divisors (see below), whose sum is σ = 22740346516923. Its totient is φ = 21286697834160.

The previous prime is 22001737741187. The next prime is 22001737741211. The reversal of 22001737741201 is 10214773710022.

The square root of 22001737741201 is 4690601.

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

It can be written as a sum of positive squares in only one way, i.e., 19687457073025 + 2314280668176 = 4437055^2 + 1521276^2 .

It is not a de Polignac number, because 22001737741201 - 2²⁵ = 22001704186769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22001737741211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57445790256 + ... + 57445790638.

Almost surely, 2^{22001737741201} is an apocalyptic number.

22001737741201 is the 4690601-st square number.

22001737741201 is the 2345301-st centered octagonal number.

It is an amenable number.

22001737741201 is a deficient number, since it is larger than the sum of its proper divisors (738608775722).

22001737741201 is an frugal number, since it uses more digits than its factorization.

22001737741201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 22001737741201 in words is "twenty-two trillion, one billion, seven hundred thirty-seven million, seven hundred forty-one thousand, two hundred one".