4535346816 has 1280 divisors, whose sum is σ = 19905177600. Its totient is φ = 985374720.

The previous prime is 4535346799. The next prime is 4535346821. The reversal of 4535346816 is 6186435354.

4535346816 is a `hidden beast` number, since 4 + 53 + 534 + 68 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197188981 + ... + 197189003.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^4535346816 is an apocalyptic number.

4535346816 is a gapful number since it is divisible by the number (46) 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 4535346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952588800).

4535346816 is an abundant number, since it is smaller than the sum of its proper divisors (15369830784).

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

4535346816 is a wasteful number, since it uses less digits than its factorization.

4535346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 4535346816 is about 67344.9835993743. The cubic root of 4535346816 is about 1655.2750449982.

The spelling of 4535346816 in words is "four billion, five hundred thirty-five million, three hundred forty-six thousand, eight hundred sixteen".