22191401100625 has 15 divisors (see below), whose sum is σ = 27730521980733. Its totient is φ = 17753026665000.

The previous prime is 22191401100623. The next prime is 22191401100727. The reversal of 22191401100625 is 52600110419122.

The square root of 22191401100625 is 4710775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1739805846289 + 20451595254336 = 1319017^2 + 4522344^2 .

It is not a de Polignac number, because 22191401100625 - 2¹ = 22191401100623 is a prime.

It is a super-2 number, since 2×22191401100625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22191401100623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 117675160 + ... + 117863590.

Almost surely, 2^{22191401100625} is an apocalyptic number.

22191401100625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22191401100625 is the 4710775-th square number.

22191401100625 is the 2355388-th centered octagonal number.

It is an amenable number.

22191401100625 is a deficient number, since it is larger than the sum of its proper divisors (5539120880108).

22191401100625 is an frugal number, since it uses more digits than its factorization.

22191401100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376882 (or 188436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

Adding to 22191401100625 its reverse (52600110419122), we get a palindrome (74791511519747).

The spelling of 22191401100625 in words is "twenty-two trillion, one hundred ninety-one billion, four hundred one million, one hundred thousand, six hundred twenty-five".