4452606816 has 288 divisors, whose sum is σ = 14393417472. Its totient is φ = 1180262400.

The previous prime is 4452606793. The next prime is 4452606841. The reversal of 4452606816 is 6186062544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19614895 + ... + 19615121.

It is an arithmetic number, because the mean of its divisors is an integer number (49977144).

Almost surely, 2^4452606816 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 4452606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196708736).

4452606816 is an abundant number, since it is smaller than the sum of its proper divisors (9940810656).

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

4452606816 is a wasteful number, since it uses less digits than its factorization.

4452606816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4452606816 is about 66727.8563719831. The cubic root of 4452606816 is about 1645.1472743179.

The spelling of 4452606816 in words is "four billion, four hundred fifty-two million, six hundred six thousand, eight hundred sixteen".