164412605305625 has 10 divisors (see below), whose sum is σ = 205449991590690. Its totient is φ = 131530084244000.

The previous prime is 164412605305609. The next prime is 164412605305633. The reversal of 164412605305625 is 526503506214461.

It can be written as a sum of positive squares in 5 ways, for example, as 101283049346704 + 63129555958921 = 10063948^2 + 7945411^2 .

It is not a de Polignac number, because 164412605305625 - 2⁴ = 164412605305609 is a prime.

It is a super-3 number, since 3×164412605305625³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 131530083620 + ... + 131530084869.

It is an arithmetic number, because the mean of its divisors is an integer number (20544999159069).

Almost surely, 2^{164412605305625} is an apocalyptic number.

It is an amenable number.

164412605305625 is a deficient number, since it is larger than the sum of its proper divisors (41037386285065).

164412605305625 is an frugal number, since it uses more digits than its factorization.

164412605305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263060168509 (or 263060168494 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 164412605305625 in words is "one hundred sixty-four trillion, four hundred twelve billion, six hundred five million, three hundred five thousand, six hundred twenty-five".