4716534144 has 128 divisors (see below), whose sum is σ = 14532307200. Its totient is φ = 1327417344.

The previous prime is 4716534143. The next prime is 4716534197. The reversal of 4716534144 is 4414356174.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716534143) 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, 167002 + ... + 193190.

It is an arithmetic number, because the mean of its divisors is an integer number (113533650).

Almost surely, 2^4716534144 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 4716534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266153600).

4716534144 is an abundant number, since it is smaller than the sum of its proper divisors (9815773056).

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

4716534144 is a wasteful number, since it uses less digits than its factorization.

4716534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26280 (or 26268 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 4716534144 is about 68677.0277749409. The cubic root of 4716534144 is about 1677.0306277917.

The spelling of 4716534144 in words is "four billion, seven hundred sixteen million, five hundred thirty-four thousand, one hundred forty-four".