164928138048 has 84 divisors (see below), whose sum is σ = 480486613828. Its totient is φ = 54074787840.

The previous prime is 164928138031. The next prime is 164928138071. The reversal of 164928138048 is 840831829461.

It is a happy number.

164928138048 is a `hidden beast` number, since 1 + 6 + 492 + 81 + 38 + 0 + 48 = 666.

164928138048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75818723904 + 89109414144 = 275352^2 + 298512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164928137985 and 164928138003.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2311861 + ... + 2382132.

Almost surely, 2^164928138048 is an apocalyptic number.

164928138048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164928138048 is an abundant number, since it is smaller than the sum of its proper divisors (315558475780).

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

164928138048 is a wasteful number, since it uses less digits than its factorization.

164928138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694072 (or 4694059 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 164928138048 in words is "one hundred sixty-four billion, nine hundred twenty-eight million, one hundred thirty-eight thousand, forty-eight".