4514675616 has 288 divisors, whose sum is σ = 14846727168. Its totient is φ = 1337783040.

The previous prime is 4514675597. The next prime is 4514675623. The reversal of 4514675616 is 6165764154.

4514675616 is a `hidden beast` number, since 4 + 514 + 6 + 75 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4019631 + ... + 4020753.

It is an arithmetic number, because the mean of its divisors is an integer number (51551136).

Almost surely, 2^4514675616 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 4514675616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423363584).

4514675616 is an abundant number, since it is smaller than the sum of its proper divisors (10332051552).

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

4514675616 is a wasteful number, since it uses less digits than its factorization.

4514675616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1186 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 4514675616 is about 67191.3358700361. The cubic root of 4514675616 is about 1652.7564108898.

The spelling of 4514675616 in words is "four billion, five hundred fourteen million, six hundred seventy-five thousand, six hundred sixteen".