4612442164 has 48 divisors (see below), whose sum is σ = 8882153280. Its totient is φ = 2078415360.

The previous prime is 4612442117. The next prime is 4612442173.

4612442164 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2920327 + ... + 2921905.

It is an arithmetic number, because the mean of its divisors is an integer number (185044860).

Almost surely, 2^4612442164 is an apocalyptic number.

4612442164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4612442164 is a deficient number, since it is larger than the sum of its proper divisors (4269711116).

4612442164 is a wasteful number, since it uses less digits than its factorization.

4612442164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2126 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 4612442164 is about 67914.9627401797. The cubic root of 4612442164 is about 1664.6016131803.

It can be divided in two parts, 46124 and 42164, that added together give a palindrome (88288).

The spelling of 4612442164 in words is "four billion, six hundred twelve million, four hundred forty-two thousand, one hundred sixty-four".