4463113644 has 144 divisors (see below), whose sum is σ = 12528472320. Its totient is φ = 1328400000.

The previous prime is 4463113619. The next prime is 4463113651.

4463113644 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 1 + 1 + 3 + 644 = 666.

4463113644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4463113599 and 4463113608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6039027 + ... + 6039765.

It is an arithmetic number, because the mean of its divisors is an integer number (87003280).

Almost surely, 2^4463113644 is an apocalyptic number.

4463113644 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 4463113644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264236160).

4463113644 is an abundant number, since it is smaller than the sum of its proper divisors (8065358676).

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

4463113644 is a wasteful number, since it uses less digits than its factorization.

4463113644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1007 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4463113644 is about 66806.5389314549. The cubic root of 4463113644 is about 1646.4402772646.

The spelling of 4463113644 in words is "four billion, four hundred sixty-three million, one hundred thirteen thousand, six hundred forty-four".