4644134314464 has 48 divisors (see below), whose sum is σ = 12202067985408. Its totient is φ = 1546620592512.

The previous prime is 4644134314453. The next prime is 4644134314487.

4644134314464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22147902 + ... + 22356605.

It is an arithmetic number, because the mean of its divisors is an integer number (254209749696).

Almost surely, 2^{4644134314464} is an apocalyptic number.

It is an amenable number.

4644134314464 is an abundant number, since it is smaller than the sum of its proper divisors (7557933670944).

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

4644134314464 is a wasteful number, since it uses less digits than its factorization.

4644134314464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44505607 (or 44505599 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 4644134314464 in words is "four trillion, six hundred forty-four billion, one hundred thirty-four million, three hundred fourteen thousand, four hundred sixty-four".