164412441 has 24 divisors (see below), whose sum is σ = 249437760. Its totient is φ = 104154336.

The previous prime is 164412431. The next prime is 164412449. The reversal of 164412441 is 144214461.

164412441 is a `hidden beast` number, since 1 + 644 + 12 + 4 + 4 + 1 = 666.

164412441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-164412441 is a prime.

It is a super-3 number, since 3×164412441³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164412449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29970 + ... + 35028.

It is an arithmetic number, because the mean of its divisors is an integer number (10393240).

Almost surely, 2^164412441 is an apocalyptic number.

It is an amenable number.

164412441 is a deficient number, since it is larger than the sum of its proper divisors (85025319).

164412441 is a wasteful number, since it uses less digits than its factorization.

164412441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5242 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 164412441 is about 12822.3414788408. The cubic root of 164412441 is about 547.8288410448.

The spelling of 164412441 in words is "one hundred sixty-four million, four hundred twelve thousand, four hundred forty-one".