22737533655321 has 117 divisors (see below), whose sum is σ = 35409787191909. Its totient is φ = 14599853440200.

The previous prime is 22737533655281. The next prime is 22737533655373. The reversal of 22737533655321 is 12355633573722.

The square root of 22737533655321 is 4768389.

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

22737533655321 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 7 + 53 + 36 + 553 + 2 + 1 = 666.

It is not a de Polignac number, because 22737533655321 - 2⁹ = 22737533654809 is a prime.

It is a super-2 number, since 2×22737533655321² (a number of 28 digits) contains 22 as substring.

Its product of digits (23814000) is a multiple of the sum of its prime divisors (245).

It is not an unprimeable number, because it can be changed into a prime (22737533655391) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 107760822906 + ... + 107760823116.

It is an arithmetic number, because the mean of its divisors is an integer number (302647753777).

Almost surely, 2^{22737533655321} is an apocalyptic number.

22737533655321 is the 4768389-th square number.

22737533655321 is the 2384195-th centered octagonal number.

It is an amenable number.

22737533655321 is a deficient number, since it is larger than the sum of its proper divisors (12672253536588).

22737533655321 is an frugal number, since it uses more digits than its factorization.

22737533655321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 245 counting only the distinct ones).

The product of its digits is 23814000, while the sum is 54.

The spelling of 22737533655321 in words is "twenty-two trillion, seven hundred thirty-seven billion, five hundred thirty-three million, six hundred fifty-five thousand, three hundred twenty-one".