164818464 has 96 divisors (see below), whose sum is σ = 460152000. Its totient is φ = 51508224.

The previous prime is 164818457. The next prime is 164818481. The reversal of 164818464 is 464818461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198402 + ... + 199230.

It is an arithmetic number, because the mean of its divisors is an integer number (4793250).

Almost surely, 2^164818464 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 164818464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230076000).

164818464 is an abundant number, since it is smaller than the sum of its proper divisors (295333536).

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

164818464 is a wasteful number, since it uses less digits than its factorization.

164818464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 164818464 is about 12838.1643547666. The cubic root of 164818464 is about 548.2794319656.

The spelling of 164818464 in words is "one hundred sixty-four million, eight hundred eighteen thousand, four hundred sixty-four".