164304116264025 has 72 divisors (see below), whose sum is σ = 295391130554520. Its totient is φ = 87300269521920.

The previous prime is 164304116264021. The next prime is 164304116264059. The reversal of 164304116264025 is 520462611403461.

164304116264025 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 0 + 4 + 11 + 626 + 4 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 112146066729216 + 52158049534809 = 10589904^2 + 7222053^2 .

It is not a de Polignac number, because 164304116264025 - 2² = 164304116264021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (164304116264021) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 195311607 + ... + 196151043.

It is an arithmetic number, because the mean of its divisors is an integer number (4102654591035).

Almost surely, 2^{164304116264025} is an apocalyptic number.

164304116264025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164304116264025 is a deficient number, since it is larger than the sum of its proper divisors (131087014290495).

164304116264025 is a wasteful number, since it uses less digits than its factorization.

164304116264025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842715 (or 842707 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 164304116264025 its reverse (520462611403461), we get a palindrome (684766727667486).

The spelling of 164304116264025 in words is "one hundred sixty-four trillion, three hundred four billion, one hundred sixteen million, two hundred sixty-four thousand, twenty-five".