4311644688 has 160 divisors (see below), whose sum is σ = 13381921280. Its totient is φ = 1321297920.

The previous prime is 4311644681. The next prime is 4311644713. The reversal of 4311644688 is 8864461134.

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

It is not an unprimeable number, because it can be changed into a prime (4311644681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520520 + ... + 1523352.

It is an arithmetic number, because the mean of its divisors is an integer number (83637008).

Almost surely, 2^4311644688 is an apocalyptic number.

4311644688 is a gapful number since it is divisible by the number (48) 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 4311644688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690960640).

4311644688 is an abundant number, since it is smaller than the sum of its proper divisors (9070276592).

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

4311644688 is a wasteful number, since it uses less digits than its factorization.

4311644688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3122 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4311644688 is about 65663.1151256168. The cubic root of 4311644688 is about 1627.5999012770.

The spelling of 4311644688 in words is "four billion, three hundred eleven million, six hundred forty-four thousand, six hundred eighty-eight".