164145663 has 32 divisors (see below), whose sum is σ = 271476480. Its totient is φ = 97161120.

The previous prime is 164145649. The next prime is 164145671. The reversal of 164145663 is 366541461.

It is a happy number.

164145663 is a `hidden beast` number, since 1 + 641 + 4 + 5 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 164145663 - 2⁶ = 164145599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164145463) 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 31 ways as a sum of consecutive naturals, for example, 6345 + ... + 19197.

It is an arithmetic number, because the mean of its divisors is an integer number (8483640).

Almost surely, 2^164145663 is an apocalyptic number.

164145663 is a deficient number, since it is larger than the sum of its proper divisors (107330817).

164145663 is a wasteful number, since it uses less digits than its factorization.

164145663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916 (or 12910 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164145663 is about 12811.9343972719. The cubic root of 164145663 is about 547.5323756422.

The spelling of 164145663 in words is "one hundred sixty-four million, one hundred forty-five thousand, six hundred sixty-three".