4817356416 has 192 divisors, whose sum is σ = 14617293600. Its totient is φ = 1578839040.

The previous prime is 4817356381. The next prime is 4817356421. The reversal of 4817356416 is 6146537184.

4817356416 is a `hidden beast` number, since 4 + 8 + 1 + 73 + 564 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896075 + ... + 1898613.

Almost surely, 2^4817356416 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 4817356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308646800).

4817356416 is an abundant number, since it is smaller than the sum of its proper divisors (9799937184).

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

4817356416 is an equidigital number, since it uses as much as digits as its factorization.

4817356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2605 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4817356416 is about 69407.1784183740. The cubic root of 4817356416 is about 1688.8960749258.

The spelling of 4817356416 in words is "four billion, eight hundred seventeen million, three hundred fifty-six thousand, four hundred sixteen".