164117472 has 48 divisors (see below), whose sum is σ = 444713472. Its totient is φ = 52940160.

The previous prime is 164117453. The next prime is 164117479. The reversal of 164117472 is 274711461.

164117472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164117479) 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 7 ways as a sum of consecutive naturals, for example, 24598 + ... + 30549.

It is an arithmetic number, because the mean of its divisors is an integer number (9264864).

Almost surely, 2^164117472 is an apocalyptic number.

164117472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164117472 is an abundant number, since it is smaller than the sum of its proper divisors (280596000).

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

164117472 is a wasteful number, since it uses less digits than its factorization.

164117472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55191 (or 55183 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 164117472 is about 12810.8341648778. The cubic root of 164117472 is about 547.5010287506.

The spelling of 164117472 in words is "one hundred sixty-four million, one hundred seventeen thousand, four hundred seventy-two".