4819516416 has 704 divisors, whose sum is σ = 17827568640. Its totient is φ = 1265172480.

The previous prime is 4819516391. The next prime is 4819516433. The reversal of 4819516416 is 6146159184.

4819516416 is a `hidden beast` number, since 48 + 195 + 1 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90934246 + ... + 90934298.

Almost surely, 2^4819516416 is an apocalyptic number.

4819516416 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 4819516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913784320).

4819516416 is an abundant number, since it is smaller than the sum of its proper divisors (13008052224).

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

4819516416 is a wasteful number, since it uses less digits than its factorization.

4819516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 4819516416 is about 69422.7370246953. The cubic root of 4819516416 is about 1689.1484588830.

The spelling of 4819516416 in words is "four billion, eight hundred nineteen million, five hundred sixteen thousand, four hundred sixteen".