164803094344 has 96 divisors (see below), whose sum is σ = 376658553600. Its totient is φ = 67275479040.

The previous prime is 164803094327. The next prime is 164803094369. The reversal of 164803094344 is 443490308461.

164803094344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 164803094294 and 164803094303.

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 23 ways as a sum of consecutive naturals, for example, 2116584 + ... + 2193064.

It is an arithmetic number, because the mean of its divisors is an integer number (3923526600).

Almost surely, 2^164803094344 is an apocalyptic number.

164803094344 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 164803094344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188329276800).

164803094344 is an abundant number, since it is smaller than the sum of its proper divisors (211855459256).

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

164803094344 is a wasteful number, since it uses less digits than its factorization.

164803094344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76763 (or 76752 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 164803094344 in words is "one hundred sixty-four billion, eight hundred three million, ninety-four thousand, three hundred forty-four".