4463144064 has 384 divisors, whose sum is σ = 14114580480. Its totient is φ = 1402168320.

The previous prime is 4463144047. The next prime is 4463144069. The reversal of 4463144064 is 4604413644.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (4463144069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62861149 + ... + 62861219.

It is an arithmetic number, because the mean of its divisors is an integer number (36756720).

Almost surely, 2^4463144064 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 4463144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057290240).

4463144064 is an abundant number, since it is smaller than the sum of its proper divisors (9651436416).

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

4463144064 is an equidigital number, since it uses as much as digits as its factorization.

4463144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4463144064 is about 66806.7666033913. The cubic root of 4463144064 is about 1646.4440178968. Note that the first 3 decimals are identical.

The spelling of 4463144064 in words is "four billion, four hundred sixty-three million, one hundred forty-four thousand, sixty-four".