164565000936 has 384 divisors, whose sum is σ = 534757766400. Its totient is φ = 44739993600.

The previous prime is 164565000923. The next prime is 164565000991. The reversal of 164565000936 is 639000565461.

164565000936 is a `hidden beast` number, since 1 + 6 + 4 + 56 + 500 + 0 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 164565000891 and 164565000900.

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 95 ways as a sum of consecutive naturals, for example, 410386336 + ... + 410386736.

It is an arithmetic number, because the mean of its divisors is an integer number (1392598350).

Almost surely, 2^164565000936 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 164565000936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267378883200).

164565000936 is an abundant number, since it is smaller than the sum of its proper divisors (370192765464).

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

164565000936 is a wasteful number, since it uses less digits than its factorization.

164565000936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 164565000936 in words is "one hundred sixty-four billion, five hundred sixty-five million, nine hundred thirty-six", and thus it is an aban number.