164388587868 has 144 divisors (see below), whose sum is σ = 429096245760. Its totient is φ = 53041347072.

The previous prime is 164388587761. The next prime is 164388587887. The reversal of 164388587868 is 868785883461.

164388587868 is a `hidden beast` number, since 1 + 6 + 4 + 38 + 8 + 587 + 8 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 164388587796 and 164388587805.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 59409021 + ... + 59411787.

It is an arithmetic number, because the mean of its divisors is an integer number (2979835040).

Almost surely, 2^164388587868 is an apocalyptic number.

164388587868 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 164388587868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214548122880).

164388587868 is an abundant number, since it is smaller than the sum of its proper divisors (264707657892).

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

164388587868 is a wasteful number, since it uses less digits than its factorization.

164388587868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3251 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 164388587868 in words is "one hundred sixty-four billion, three hundred eighty-eight million, five hundred eighty-seven thousand, eight hundred sixty-eight".