164327576952 has 256 divisors, whose sum is σ = 543449088000. Its totient is φ = 40088033280.

The previous prime is 164327576947. The next prime is 164327576977. The reversal of 164327576952 is 259675723461.

It is a super-2 number, since 2×164327576952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164327576892 and 164327576901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15797049 + ... + 15807447.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848000).

Almost surely, 2^164327576952 is an apocalyptic number.

164327576952 is a gapful number since it is divisible by the number (12) 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 164327576952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544000).

164327576952 is an abundant number, since it is smaller than the sum of its proper divisors (379121511048).

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

164327576952 is a wasteful number, since it uses less digits than its factorization.

164327576952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10946 (or 10942 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 57.

The spelling of 164327576952 in words is "one hundred sixty-four billion, three hundred twenty-seven million, five hundred seventy-six thousand, nine hundred fifty-two".