4463526816 has 576 divisors, whose sum is σ = 16547328000. Its totient is φ = 1162667520.

The previous prime is 4463526761. The next prime is 4463526839. The reversal of 4463526816 is 6186253644.

4463526816 is a `hidden beast` number, since 4 + 4 + 635 + 2 + 6 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24935815 + ... + 24935993.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^4463526816 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 4463526816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664000).

4463526816 is an abundant number, since it is smaller than the sum of its proper divisors (12083801184).

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

4463526816 is a wasteful number, since it uses less digits than its factorization.

4463526816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4463526816 is about 66809.6311619814. The cubic root of 4463526816 is about 1646.4910820081.

The spelling of 4463526816 in words is "four billion, four hundred sixty-three million, five hundred twenty-six thousand, eight hundred sixteen".