4614664164 has 48 divisors (see below), whose sum is σ = 11836129536. Its totient is φ = 1387703200.

The previous prime is 4614664163. The next prime is 4614664169.

4614664164 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (4614664163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116142 + ... + 150725.

It is an arithmetic number, because the mean of its divisors is an integer number (246586032).

Almost surely, 2^4614664164 is an apocalyptic number.

4614664164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4614664164 is an abundant number, since it is smaller than the sum of its proper divisors (7221465372).

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

4614664164 is a wasteful number, since it uses less digits than its factorization.

4614664164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267016 (or 267014 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4614664164 is about 67931.3194631166. The cubic root of 4614664164 is about 1664.8688722495.

The spelling of 4614664164 in words is "four billion, six hundred fourteen million, six hundred sixty-four thousand, one hundred sixty-four".