164566534272 has 256 divisors, whose sum is σ = 512105932800. Its totient is φ = 45843775488.

The previous prime is 164566534267. The next prime is 164566534277. The reversal of 164566534272 is 272435665461.

It is an interprime number because it is at equal distance from previous prime (164566534267) and next prime (164566534277).

It is not an unprimeable number, because it can be changed into a prime (164566534277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96974128 + ... + 96975824.

It is an arithmetic number, because the mean of its divisors is an integer number (2000413800).

Almost surely, 2^164566534272 is an apocalyptic number.

164566534272 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 164566534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256052966400).

164566534272 is an abundant number, since it is smaller than the sum of its proper divisors (347539398528).

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

164566534272 is a wasteful number, since it uses less digits than its factorization.

164566534272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2591 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 51.

The spelling of 164566534272 in words is "one hundred sixty-four billion, five hundred sixty-six million, five hundred thirty-four thousand, two hundred seventy-two".