4664175113864 has 128 divisors (see below), whose sum is σ = 10949756774400. Its totient is φ = 1816099246080.

The previous prime is 4664175113849. The next prime is 4664175113879. The reversal of 4664175113864 is 4683115714664.

It is an interprime number because it is at equal distance from previous prime (4664175113849) and next prime (4664175113879).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 160691657 + ... + 160720679.

It is an arithmetic number, because the mean of its divisors is an integer number (85544974800).

Almost surely, 2^{4664175113864} 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 4664175113864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474878387200).

4664175113864 is an abundant number, since it is smaller than the sum of its proper divisors (6285581660536).

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

4664175113864 is a wasteful number, since it uses less digits than its factorization.

4664175113864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34903 (or 34899 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 56.

The spelling of 4664175113864 in words is "four trillion, six hundred sixty-four billion, one hundred seventy-five million, one hundred thirteen thousand, eight hundred sixty-four".