164641138368 has 336 divisors, whose sum is σ = 544780500480. Its totient is φ = 43614111744.

The previous prime is 164641138351. The next prime is 164641138391. The reversal of 164641138368 is 863831146461.

164641138368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×164641138368² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164641138368.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8391546 + ... + 8411142.

Almost surely, 2^164641138368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164641138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272390250240).

164641138368 is an abundant number, since it is smaller than the sum of its proper divisors (380139362112).

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

164641138368 is a wasteful number, since it uses less digits than its factorization.

164641138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19675 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 164641138368 in words is "one hundred sixty-four billion, six hundred forty-one million, one hundred thirty-eight thousand, three hundred sixty-eight".