164605224576 has 128 divisors (see below), whose sum is σ = 472569753600. Its totient is φ = 50464493568.

The previous prime is 164605224557. The next prime is 164605224617. The reversal of 164605224576 is 675422506461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323265 + ... + 1442303.

It is an arithmetic number, because the mean of its divisors is an integer number (3691951200).

Almost surely, 2^164605224576 is an apocalyptic number.

164605224576 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 164605224576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236284876800).

164605224576 is an abundant number, since it is smaller than the sum of its proper divisors (307964529024).

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

164605224576 is a wasteful number, since it uses less digits than its factorization.

164605224576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119346 (or 119334 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 164605224576 in words is "one hundred sixty-four billion, six hundred five million, two hundred twenty-four thousand, five hundred seventy-six".