4614334164 has 36 divisors (see below), whose sum is σ = 12724377120. Its totient is φ = 1398282960.

The previous prime is 4614334133. The next prime is 4614334187.

4614334164 is a `hidden beast` number, since 4 + 61 + 433 + 4 + 164 = 666.

4614334164 is nontrivially palindromic in base 10.

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

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 5825784 + ... + 5826575.

It is an arithmetic number, because the mean of its divisors is an integer number (353454920).

Almost surely, 2^4614334164 is an apocalyptic number.

4614334164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4614334164 is an abundant number, since it is smaller than the sum of its proper divisors (8110042956).

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

4614334164 is a wasteful number, since it uses less digits than its factorization.

4614334164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652380 (or 11652375 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4614334164 is about 67928.8904958708. The cubic root of 4614334164 is about 1664.8291857339.

The spelling of 4614334164 in words is "four billion, six hundred fourteen million, three hundred thirty-four thousand, one hundred sixty-four".