164415348 has 36 divisors (see below), whose sum is σ = 417110148. Its totient is φ = 54606720.

The previous prime is 164415337. The next prime is 164415367. The reversal of 164415348 is 843514461.

164415348 is a `hidden beast` number, since 1 + 644 + 1 + 5 + 3 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112402404 + 52012944 = 10602^2 + 7212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×164415348³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990 + ... + 18242.

It is an arithmetic number, because the mean of its divisors is an integer number (11586393).

Almost surely, 2^164415348 is an apocalyptic number.

164415348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164415348 is an abundant number, since it is smaller than the sum of its proper divisors (252694800).

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

164415348 is a wasteful number, since it uses less digits than its factorization.

164415348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16544 (or 16539 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 164415348 is about 12822.4548351710. The cubic root of 164415348 is about 547.8320697726.

The spelling of 164415348 in words is "one hundred sixty-four million, four hundred fifteen thousand, three hundred forty-eight".