164360476699225 has 135 divisors (see below), whose sum is σ = 220669628838141. Its totient is φ = 121438126180800.

The previous prime is 164360476699201. The next prime is 164360476699249. The reversal of 164360476699225 is 522996674063461.

The square root of 164360476699225 is 12820315.

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

164360476699225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164360476699201) and next prime (164360476699249).

It can be written as a sum of positive squares in 4 ways, for example, as 15602839701849 + 148757636997376 = 3950043^2 + 12196624^2 .

It is not a de Polignac number, because 164360476699225 - 2¹⁷ = 164360476568153 is a prime.

It is a super-2 number, since 2×164360476699225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1254660127410 + ... + 1254660127540.

Almost surely, 2^{164360476699225} is an apocalyptic number.

164360476699225 is the 12820315-th square number.

164360476699225 is the 6410158-th centered octagonal number.

It is an amenable number.

164360476699225 is a deficient number, since it is larger than the sum of its proper divisors (56309152138916).

164360476699225 is an frugal number, since it uses more digits than its factorization.

164360476699225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 70.

The spelling of 164360476699225 in words is "one hundred sixty-four trillion, three hundred sixty billion, four hundred seventy-six million, six hundred ninety-nine thousand, two hundred twenty-five".