22604328868801 has 27 divisors (see below), whose sum is σ = 23567546265627. Its totient is φ = 21680068560000.

The previous prime is 22604328868763. The next prime is 22604328868813. The reversal of 22604328868801 is 10886882340622.

The square root of 22604328868801 is 4754401.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9283288828801 + 13321040040000 = 3046849^2 + 3649800^2 .

It is not a de Polignac number, because 22604328868801 - 2¹⁹ = 22604328344513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22604328878801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11890755951 + ... + 11890757851.

Almost surely, 2^{22604328868801} is an apocalyptic number.

22604328868801 is the 4754401-st square number.

22604328868801 is the 2377201-st centered octagonal number.

It is an amenable number.

22604328868801 is a deficient number, since it is larger than the sum of its proper divisors (963217396826).

22604328868801 is an frugal number, since it uses more digits than its factorization.

22604328868801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 58.

The spelling of 22604328868801 in words is "twenty-two trillion, six hundred four billion, three hundred twenty-eight million, eight hundred sixty-eight thousand, eight hundred one".