164014911 has 12 divisors (see below), whose sum is σ = 238115592. Its totient is φ = 108787056.

The previous prime is 164014853. The next prime is 164014927. The reversal of 164014911 is 119410461.

164014911 is a `hidden beast` number, since 1 + 640 + 1 + 4 + 9 + 11 = 666.

It is not a de Polignac number, because 164014911 - 2¹⁹ = 163490623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164014931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44481 + ... + 48026.

It is an arithmetic number, because the mean of its divisors is an integer number (19842966).

Almost surely, 2^164014911 is an apocalyptic number.

164014911 is a deficient number, since it is larger than the sum of its proper divisors (74100681).

164014911 is a wasteful number, since it uses less digits than its factorization.

164014911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92710 (or 92707 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 164014911 is about 12806.8306383742. The cubic root of 164014911 is about 547.3869560819.

It can be divided in two parts, 16401 and 4911, that added together give a palindrome (21312).

The spelling of 164014911 in words is "one hundred sixty-four million, fourteen thousand, nine hundred eleven".