164189406864 has 40 divisors (see below), whose sum is σ = 484749678400. Its totient is φ = 46911259008.

The previous prime is 164189406863. The next prime is 164189406883. The reversal of 164189406864 is 468604981461.

It is a happy number.

164189406864 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164189406864³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (164189406863) 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 7 ways as a sum of consecutive naturals, for example, 244329139 + ... + 244329810.

It is an arithmetic number, because the mean of its divisors is an integer number (12118741960).

Almost surely, 2^164189406864 is an apocalyptic number.

164189406864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164189406864 is an abundant number, since it is smaller than the sum of its proper divisors (320560271536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164189406864 is a wasteful number, since it uses less digits than its factorization.

164189406864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488658967 (or 488658961 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 164189406864 in words is "one hundred sixty-four billion, one hundred eighty-nine million, four hundred six thousand, eight hundred sixty-four".