164415575688 has 576 divisors, whose sum is σ = 561570347520. Its totient is φ = 39754955520.

The previous prime is 164415575663. The next prime is 164415575689. The reversal of 164415575688 is 886575514461.

164415575688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164415575688³ (a number of 35 digits) contains 333 as substring.

Its product of digits (32256000) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164415575689) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5303728233 + ... + 5303728263.

It is an arithmetic number, because the mean of its divisors is an integer number (974948520).

Almost surely, 2^164415575688 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 164415575688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280785173760).

164415575688 is an abundant number, since it is smaller than the sum of its proper divisors (397154771832).

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

164415575688 is a wasteful number, since it uses less digits than its factorization.

164415575688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 75 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 60.

The spelling of 164415575688 in words is "one hundred sixty-four billion, four hundred fifteen million, five hundred seventy-five thousand, six hundred eighty-eight".