164608743225 has 24 divisors (see below), whose sum is σ = 272195292672. Its totient is φ = 87777726400.

The previous prime is 164608743223. The next prime is 164608743227. The reversal of 164608743225 is 522347806461.

164608743225 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 (164608743223) and next prime (164608743227).

It is not a de Polignac number, because 164608743225 - 2¹ = 164608743223 is a prime.

It is a super-2 number, since 2×164608743225² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164608743223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326824 + ... + 660326.

It is an arithmetic number, because the mean of its divisors is an integer number (11341470528).

Almost surely, 2^164608743225 is an apocalyptic number.

164608743225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164608743225 is a deficient number, since it is larger than the sum of its proper divisors (107586549447).

164608743225 is a wasteful number, since it uses less digits than its factorization.

164608743225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340097 (or 340092 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 164608743225 in words is "one hundred sixty-four billion, six hundred eight million, seven hundred forty-three thousand, two hundred twenty-five".