164278228608 has 384 divisors, whose sum is σ = 517840923600. Its totient is φ = 49686773760.

The previous prime is 164278228601. The next prime is 164278228637. The reversal of 164278228608 is 806822872461.

164278228608 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 7 + 8 + 2 + 28 + 608 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 87611264064 + 76666964544 = 295992^2 + 276888^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (164278228601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256283968 + ... + 256284608.

Almost surely, 2^164278228608 is an apocalyptic number.

164278228608 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 164278228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258920461800).

164278228608 is an abundant number, since it is smaller than the sum of its proper divisors (353562694992).

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

164278228608 is a wasteful number, since it uses less digits than its factorization.

164278228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 164278228608 in words is "one hundred sixty-four billion, two hundred seventy-eight million, two hundred twenty-eight thousand, six hundred eight".