4664616164664 has 64 divisors (see below), whose sum is σ = 11683107390240. Its totient is φ = 1551998945280.

The previous prime is 4664616164597. The next prime is 4664616164711.

4664616164664 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4664616164598 and 4664616164607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30384642 + ... + 30537774.

Almost surely, 2^{4664616164664} is an apocalyptic number.

It is an amenable number.

4664616164664 is an abundant number, since it is smaller than the sum of its proper divisors (7018491225576).

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

4664616164664 is a wasteful number, since it uses less digits than its factorization.

4664616164664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155480 (or 155476 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 60.

The spelling of 4664616164664 in words is "four trillion, six hundred sixty-four billion, six hundred sixteen million, one hundred sixty-four thousand, six hundred sixty-four".