7922209588164 has 189 divisors, whose sum is σ = 21257130502237. Its totient is φ = 2582220122208.

The previous prime is 7922209588129. The next prime is 7922209588187. The reversal of 7922209588164 is 4618859022297.

The square root of 7922209588164 is 2814642.

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

7922209588164 is a `hidden beast` number, since 7 + 9 + 22 + 20 + 9 + 588 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128062348164 + 7794147240000 = 357858^2 + 2791800^2 .

It is a super-2 number, since 2×7922209588164² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7143560842 + ... + 7143561950.

Almost surely, 2^{7922209588164} is an apocalyptic number.

7922209588164 is the 2814642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7922209588164

7922209588164 is an abundant number, since it is smaller than the sum of its proper divisors (13334920914073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7922209588164 is an frugal number, since it uses more digits than its factorization.

7922209588164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 7922209588164 in words is "seven trillion, nine hundred twenty-two billion, two hundred nine million, five hundred eighty-eight thousand, one hundred sixty-four".