164147456 has 72 divisors (see below), whose sum is σ = 362916288. Its totient is φ = 73472000.

The previous prime is 164147443. The next prime is 164147483. The reversal of 164147456 is 654741461.

It is a super-2 number, since 2×164147456² = 53888774622543872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199526 + ... + 200346.

It is an arithmetic number, because the mean of its divisors is an integer number (5040504).

Almost surely, 2^164147456 is an apocalyptic number.

164147456 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 164147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181458144).

164147456 is an abundant number, since it is smaller than the sum of its proper divisors (198768832).

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

164147456 is an equidigital number, since it uses as much as digits as its factorization.

164147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 164147456 is about 12812.0043709015. The cubic root of 164147456 is about 547.5343692414.

The spelling of 164147456 in words is "one hundred sixty-four million, one hundred forty-seven thousand, four hundred fifty-six".