22323305625201 has 96 divisors (see below), whose sum is σ = 40052264878080. Its totient is φ = 11691972604800.

The previous prime is 22323305625197. The next prime is 22323305625223. The reversal of 22323305625201 is 10252650332322.

22323305625201 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 3 + 0 + 5 + 625 + 20 + 1 = 666.

It is not a de Polignac number, because 22323305625201 - 2² = 22323305625197 is a prime.

It is a super-3 number, since 3×22323305625201³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22323305625241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148835436 + ... + 148985346.

It is an arithmetic number, because the mean of its divisors is an integer number (417211092480).

Almost surely, 2^{22323305625201} is an apocalyptic number.

22323305625201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22323305625201 is a deficient number, since it is larger than the sum of its proper divisors (17728959252879).

22323305625201 is a wasteful number, since it uses less digits than its factorization.

22323305625201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153987 (or 153984 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 22323305625201 its reverse (10252650332322), we get a palindrome (32575955957523).

The spelling of 22323305625201 in words is "twenty-two trillion, three hundred twenty-three billion, three hundred five million, six hundred twenty-five thousand, two hundred one".