164723151321 has 27 divisors (see below), whose sum is σ = 242140162719. Its totient is φ = 107907075792.

The previous prime is 164723151301. The next prime is 164723151367. The reversal of 164723151321 is 123151327461.

The square root of 164723151321 is 405861.

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

164723151321 is a `hidden beast` number, since 1 + 6 + 472 + 3 + 151 + 32 + 1 = 666.

164723151321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47783774025 + 116939377296 = 218595^2 + 341964^2 .

It is not a de Polignac number, because 164723151321 - 2¹³ = 164723143129 is a prime.

It is a super-2 number, since 2×164723151321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164723151301) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 71836251 + ... + 71838543.

Almost surely, 2^164723151321 is an apocalyptic number.

164723151321 is the 405861-st square number.

164723151321 is the 202931-st centered octagonal number.

It is an amenable number.

164723151321 is a deficient number, since it is larger than the sum of its proper divisors (77417011398).

164723151321 is an frugal number, since it uses more digits than its factorization.

164723151321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 2355 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Multiplying 164723151321 by its sum of digits (36), we get a square (5930033447556 = 2435166²).

Adding to 164723151321 its reverse (123151327461), we get a palindrome (287874478782).

The spelling of 164723151321 in words is "one hundred sixty-four billion, seven hundred twenty-three million, one hundred fifty-one thousand, three hundred twenty-one".