164205045952 has 56 divisors (see below), whose sum is σ = 340511440896. Its totient is φ = 78417385728.

The previous prime is 164205045947. The next prime is 164205045959. The reversal of 164205045952 is 259540502461.

It is a junction number, because it is equal to n+sod(n) for n = 164205045899 and 164205045908.

It is not an unprimeable number, because it can be changed into a prime (164205045959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923713 + ... + 1087039.

Almost surely, 2^164205045952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164205045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170255720448).

164205045952 is an abundant number, since it is smaller than the sum of its proper divisors (176306394944).

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

164205045952 is a wasteful number, since it uses less digits than its factorization.

164205045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164045 (or 164035 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 164205045952 in words is "one hundred sixty-four billion, two hundred five million, forty-five thousand, nine hundred fifty-two".