164877342084 has 432 divisors, whose sum is σ = 533306592000. Its totient is φ = 42560888832.

The previous prime is 164877342079. The next prime is 164877342163. The reversal of 164877342084 is 480243778461.

164877342084 is a `hidden beast` number, since 1 + 64 + 87 + 7 + 3 + 420 + 84 = 666.

164877342084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164877342084.

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 143 ways as a sum of consecutive naturals, for example, 367209892 + ... + 367210340.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506000).

Almost surely, 2^164877342084 is an apocalyptic number.

164877342084 is a gapful number since it is divisible by the number (14) 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 164877342084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266653296000).

164877342084 is an abundant number, since it is smaller than the sum of its proper divisors (368429249916).

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

164877342084 is a wasteful number, since it uses less digits than its factorization.

164877342084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 164877342084 in words is "one hundred sixty-four billion, eight hundred seventy-seven million, three hundred forty-two thousand, eighty-four".