164089664256 has 288 divisors, whose sum is σ = 523684704256. Its totient is φ = 44623872000.

The previous prime is 164089664243. The next prime is 164089664257. The reversal of 164089664256 is 652466980461.

164089664256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164089664196 and 164089664205.

It is not an unprimeable number, because it can be changed into a prime (164089664257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10157946 + ... + 10174086.

Almost surely, 2^164089664256 is an apocalyptic number.

164089664256 is a gapful number since it is divisible by the number (16) 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 164089664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261842352128).

164089664256 is an abundant number, since it is smaller than the sum of its proper divisors (359595040000).

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

164089664256 is a wasteful number, since it uses less digits than its factorization.

164089664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16259 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 164089664256 in words is "one hundred sixty-four billion, eighty-nine million, six hundred sixty-four thousand, two hundred fifty-six".