164356457281 has 9 divisors (see below), whose sum is σ = 168933997449. Its totient is φ = 159899796144.

The previous prime is 164356457219. The next prime is 164356457303. The reversal of 164356457281 is 182754653461.

The square root of 164356457281 is 405409.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49191247681 + 115165209600 = 221791^2 + 339360^2 .

It is not a de Polignac number, because 164356457281 - 2¹¹ = 164356455233 is a prime.

It is a super-2 number, since 2×164356457281² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164356457201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14994655 + ... + 15005611.

It is an arithmetic number, because the mean of its divisors is an integer number (18770444161).

Almost surely, 2^164356457281 is an apocalyptic number.

164356457281 is the 405409-th square number.

164356457281 is the 202705-th centered octagonal number.

It is an amenable number.

164356457281 is a deficient number, since it is larger than the sum of its proper divisors (4577540168).

164356457281 is an frugal number, since it uses more digits than its factorization.

164356457281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21988 (or 10994 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The spelling of 164356457281 in words is "one hundred sixty-four billion, three hundred fifty-six million, four hundred fifty-seven thousand, two hundred eighty-one".