164236560416401 has 8 divisors (see below), whose sum is σ = 179171524790784. Its totient is φ = 149302324037520.

The previous prime is 164236560416387. The next prime is 164236560416413. The reversal of 164236560416401 is 104614065632461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164236560416401 - 2¹³ = 164236560408209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164236560417401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181527106 + ... + 182429611.

It is an arithmetic number, because the mean of its divisors is an integer number (22396440598848).

Almost surely, 2^{164236560416401} is an apocalyptic number.

164236560416401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164236560416401 is a deficient number, since it is larger than the sum of its proper divisors (14934964374383).

164236560416401 is a wasteful number, since it uses less digits than its factorization.

164236560416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363997751.

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 164236560416401 in words is "one hundred sixty-four trillion, two hundred thirty-six billion, five hundred sixty million, four hundred sixteen thousand, four hundred one".