164390338368 has 672 divisors, whose sum is σ = 561969757440. Its totient is φ = 45546209280.

The previous prime is 164390338303. The next prime is 164390338373. The reversal of 164390338368 is 863833093461.

164390338368 is a `hidden beast` number, since 164 + 3 + 90 + 3 + 38 + 368 = 666.

164390338368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175442796 + ... + 175443732.

It is an arithmetic number, because the mean of its divisors is an integer number (836264520).

Almost surely, 2^164390338368 is an apocalyptic number.

164390338368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164390338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280984878720).

164390338368 is an abundant number, since it is smaller than the sum of its proper divisors (397579419072).

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

164390338368 is a wasteful number, since it uses less digits than its factorization.

164390338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 164390338368 in words is "one hundred sixty-four billion, three hundred ninety million, three hundred thirty-eight thousand, three hundred sixty-eight".