164564434944 has 864 divisors, whose sum is σ = 619202737440. Its totient is φ = 42807066624.

The previous prime is 164564434921. The next prime is 164564434973. The reversal of 164564434944 is 449434465461.

164564434944 is a `hidden beast` number, since 1 + 6 + 4 + 564 + 4 + 34 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254307292 + ... + 2254307364.

It is an arithmetic number, because the mean of its divisors is an integer number (716669835).

Almost surely, 2^164564434944 is an apocalyptic number.

164564434944 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 164564434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309601368720).

164564434944 is an abundant number, since it is smaller than the sum of its proper divisors (454638302496).

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

164564434944 is an frugal number, since it uses more digits than its factorization.

164564434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 98 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 164564434944 in words is "one hundred sixty-four billion, five hundred sixty-four million, four hundred thirty-four thousand, nine hundred forty-four".