164048085288 has 192 divisors, whose sum is σ = 472215744000. Its totient is φ = 51304772736.

The previous prime is 164048085287. The next prime is 164048085301. The reversal of 164048085288 is 882580840461.

164048085288 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 480 + 85 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (164048085287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70134823 + ... + 70137161.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457000).

Almost surely, 2^164048085288 is an apocalyptic number.

164048085288 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 164048085288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236107872000).

164048085288 is an abundant number, since it is smaller than the sum of its proper divisors (308167658712).

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

164048085288 is a wasteful number, since it uses less digits than its factorization.

164048085288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 164048085288 in words is "one hundred sixty-four billion, forty-eight million, eighty-five thousand, two hundred eighty-eight".