2221795943761 has 15 divisors (see below), whose sum is σ = 2345796231531. Its totient is φ = 2104349540544.

The previous prime is 2221795943737. The next prime is 2221795943779. The reversal of 2221795943761 is 1673495971222.

The square root of 2221795943761 is 1490569.

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., 1229062694161 + 992733249600 = 1108631^2 + 996360^2 .

It is not a de Polignac number, because 2221795943761 - 2¹⁵ = 2221795910993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221795943696 and 2221795943705.

It is not an unprimeable number, because it can be changed into a prime (2221795943261) 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 14 ways as a sum of consecutive naturals, for example, 538093345 + ... + 538097473.

Almost surely, 2^{2221795943761} is an apocalyptic number.

2221795943761 is the 1490569-th square number.

2221795943761 is the 745285-th centered octagonal number.

It is an amenable number.

2221795943761 is a deficient number, since it is larger than the sum of its proper divisors (124000287770).

2221795943761 is an frugal number, since it uses more digits than its factorization.

2221795943761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 4148 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The spelling of 2221795943761 in words is "two trillion, two hundred twenty-one billion, seven hundred ninety-five million, nine hundred forty-three thousand, seven hundred sixty-one".