4644114464 has 96 divisors (see below), whose sum is σ = 10466330112. Its totient is φ = 2009088000.

The previous prime is 4644114413. The next prime is 4644114467.

4644114464 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4644114467) 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, 662144 + ... + 669120.

It is an arithmetic number, because the mean of its divisors is an integer number (109024272).

Almost surely, 2^4644114464 is an apocalyptic number.

4644114464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4644114464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233165056).

4644114464 is an abundant number, since it is smaller than the sum of its proper divisors (5822215648).

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

4644114464 is a wasteful number, since it uses less digits than its factorization.

4644114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7082 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 4644114464 is about 68147.7399771995. The cubic root of 4644114464 is about 1668.4030371734.

The spelling of 4644114464 in words is "four billion, six hundred forty-four million, one hundred fourteen thousand, four hundred sixty-four".