164416356 has 72 divisors (see below), whose sum is σ = 451683960. Its totient is φ = 50125824.

The previous prime is 164416337. The next prime is 164416361. The reversal of 164416356 is 653614461.

It is a happy number.

164416356 is a `hidden beast` number, since 1 + 644 + 1 + 6 + 3 + 5 + 6 = 666.

164416356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14745600 + 149670756 = 3840^2 + 12234^2 .

It is a super-3 number, since 3×164416356³ (a number of 26 digits) contains 333 as substring.

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (3240).

It is a self number, because there is not a number n which added to its sum of digits gives 164416356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51330 + ... + 54438.

Almost surely, 2^164416356 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 164416356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225841980).

164416356 is an abundant number, since it is smaller than the sum of its proper divisors (287267604).

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

164416356 is a wasteful number, since it uses less digits than its factorization.

164416356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3240 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164416356 is about 12822.4941411568. The cubic root of 164416356 is about 547.8331893226.

The spelling of 164416356 in words is "one hundred sixty-four million, four hundred sixteen thousand, three hundred fifty-six".