4494416960016 has 75 divisors (see below), whose sum is σ = 13008367514461. Its totient is φ = 1498113546624.

The previous prime is 4494416959997. The next prime is 4494416960021. The reversal of 4494416960016 is 6100696144944.

The square root of 4494416960016 is 2120004.

It is a perfect power (a square), and thus also a powerful number.

4494416960016 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 4 + 16 + 9 + 600 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 990032960016 + 3504384000000 = 995004^2 + 1872000^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 76290700 + ... + 76349588.

Almost surely, 2^{4494416960016} is an apocalyptic number.

4494416960016 is the 2120004-th square number.

It is an amenable number.

4494416960016 is an abundant number, since it is smaller than the sum of its proper divisors (8513950554445).

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

4494416960016 is an frugal number, since it uses more digits than its factorization.

4494416960016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117798 (or 58894 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4494416960016 in words is "four trillion, four hundred ninety-four billion, four hundred sixteen million, nine hundred sixty thousand, sixteen".