164096484300225 has 63 divisors (see below), whose sum is σ = 305083115160313. Its totient is φ = 87517202639040.

The previous prime is 164096484300211. The next prime is 164096484300269. The reversal of 164096484300225 is 522003484690461.

The square root of 164096484300225 is 12810015.

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

164096484300225 is a `hidden beast` number, since 1 + 6 + 40 + 96 + 484 + 30 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54012489763761 + 110083994536464 = 7349319^2 + 10492092^2 .

It is not a de Polignac number, because 164096484300225 - 2⁵ = 164096484300193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1729304581 + ... + 1729399469.

Almost surely, 2^{164096484300225} is an apocalyptic number.

164096484300225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164096484300225 is the 12810015-th square number.

164096484300225 is the 6405008-th centered octagonal number.

It is an amenable number.

164096484300225 is a deficient number, since it is larger than the sum of its proper divisors (140986630860088).

164096484300225 is an frugal number, since it uses more digits than its factorization.

164096484300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189806 (or 94897 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 164096484300225 in words is "one hundred sixty-four trillion, ninety-six billion, four hundred eighty-four million, three hundred thousand, two hundred twenty-five".