164400160025 has 12 divisors (see below), whose sum is σ = 204214487100. Its totient is φ = 131288974080.

The previous prime is 164400160013. The next prime is 164400160027. The reversal of 164400160025 is 520061004461.

It can be written as a sum of positive squares in 6 ways, for example, as 55005259024 + 109394901001 = 234532^2 + 330749^2 .

It is not a de Polignac number, because 164400160025 - 2⁴ = 164400160009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164400160025.

It is not an unprimeable number, because it can be changed into a prime (164400160027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5764340 + ... + 5792789.

It is an arithmetic number, because the mean of its divisors is an integer number (17017873925).

Almost surely, 2^164400160025 is an apocalyptic number.

It is an amenable number.

164400160025 is a deficient number, since it is larger than the sum of its proper divisors (39814327075).

164400160025 is a wasteful number, since it uses less digits than its factorization.

164400160025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557708 (or 11557703 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 164400160025 its reverse (520061004461), we get a palindrome (684461164486).

The spelling of 164400160025 in words is "one hundred sixty-four billion, four hundred million, one hundred sixty thousand, twenty-five".