4819350816 has 216 divisors, whose sum is σ = 16377117120. Its totient is φ = 1316798208.

The previous prime is 4819350721. The next prime is 4819350821. The reversal of 4819350816 is 6180539184.

4819350816 is a `hidden beast` number, since 48 + 1 + 93 + 508 + 16 = 666.

It is a super-2 number, since 2×4819350816² = 46452284575359731712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1064205 + ... + 1068723.

Almost surely, 2^4819350816 is an apocalyptic number.

4819350816 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 4819350816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188558560).

4819350816 is an abundant number, since it is smaller than the sum of its proper divisors (11557766304).

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

4819350816 is a wasteful number, since it uses less digits than its factorization.

4819350816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 4554 counting only the distinct ones).

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

The square root of 4819350816 is about 69421.5443216297. The cubic root of 4819350816 is about 1689.1291121157.

The spelling of 4819350816 in words is "four billion, eight hundred nineteen million, three hundred fifty thousand, eight hundred sixteen".