22858448664601 has 27 divisors (see below), whose sum is σ = 25755593183677. Its totient is φ = 20271656240000.

The previous prime is 22858448664551. The next prime is 22858448664637. The reversal of 22858448664601 is 10646684485822.

The square root of 22858448664601 is 4781051.

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

It can be written as a sum of positive squares in 4 ways, for example, as 651734904601 + 22206713760000 = 807301^2 + 4712400^2 .

It is not a de Polignac number, because 22858448664601 - 2¹⁵ = 22858448631833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22858448667601) 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, 2156248701 + ... + 2156259301.

Almost surely, 2^{22858448664601} is an apocalyptic number.

22858448664601 is the 4781051-st square number.

22858448664601 is the 2390526-th centered octagonal number.

It is an amenable number.

22858448664601 is a deficient number, since it is larger than the sum of its proper divisors (2897144519076).

22858448664601 is an frugal number, since it uses more digits than its factorization.

22858448664601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21306 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 64.

The spelling of 22858448664601 in words is "twenty-two trillion, eight hundred fifty-eight billion, four hundred forty-eight million, six hundred sixty-four thousand, six hundred one".