22772928865801 has 9 divisors (see below), whose sum is σ = 22794992540103. Its totient is φ = 22750886540520.

The previous prime is 22772928865787. The next prime is 22772928865831. The reversal of 22772928865801 is 10856882927722.

The square root of 22772928865801 is 4772099.

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., 21714211342201 + 1058717523600 = 4659851^2 + 1028940^2 .

It is not a de Polignac number, because 22772928865801 - 2⁹ = 22772928865289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22772928865831) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7439700811 + ... + 7439703871.

Almost surely, 2^{22772928865801} is an apocalyptic number.

22772928865801 is the 4772099-th square number.

22772928865801 is the 2386050-th centered octagonal number.

It is an amenable number.

22772928865801 is a deficient number, since it is larger than the sum of its proper divisors (22063674302).

22772928865801 is an frugal number, since it uses more digits than its factorization.

22772928865801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 67.

The spelling of 22772928865801 in words is "twenty-two trillion, seven hundred seventy-two billion, nine hundred twenty-eight million, eight hundred sixty-five thousand, eight hundred one".