4664414144664 has 128 divisors (see below), whose sum is σ = 13111243200000. Its totient is φ = 1536322032000.

The previous prime is 4664414144639. The next prime is 4664414144713.

4664414144664 is a `hidden beast` number, since 4 + 6 + 64 + 41 + 41 + 446 + 64 = 666.

4664414144664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4664414144664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10671949 + ... + 11100419.

It is an arithmetic number, because the mean of its divisors is an integer number (102431587500).

Almost surely, 2^{4664414144664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664414144664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555621600000).

4664414144664 is an abundant number, since it is smaller than the sum of its proper divisors (8446829055336).

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

4664414144664 is a wasteful number, since it uses less digits than its factorization.

4664414144664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429086 (or 429076 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 4664414144664 in words is "four trillion, six hundred sixty-four billion, four hundred fourteen million, one hundred forty-four thousand, six hundred sixty-four".