164350800601 has 32 divisors (see below), whose sum is σ = 189744871680. Its totient is φ = 141005297664.

The previous prime is 164350800587. The next prime is 164350800631. The reversal of 164350800601 is 106008053461.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 164350800601 - 2⁵ = 164350800569 is a prime.

It is a super-2 number, since 2×164350800601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164350800631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17362996 + ... + 17372458.

It is an arithmetic number, because the mean of its divisors is an integer number (5929527240).

Almost surely, 2^164350800601 is an apocalyptic number.

It is an amenable number.

164350800601 is a deficient number, since it is larger than the sum of its proper divisors (25394071079).

164350800601 is a wasteful number, since it uses less digits than its factorization.

164350800601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 164350800601 in words is "one hundred sixty-four billion, three hundred fifty million, eight hundred thousand, six hundred one".