4983129216 has 576 divisors, whose sum is σ = 17554675320. Its totient is φ = 1343029248.

The previous prime is 4983129211. The next prime is 4983129227. The reversal of 4983129216 is 6129213894.

It can be written as a sum of positive squares in 4 ways, for example, as 4761000000 + 222129216 = 69000^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4983129211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134679150 + ... + 134679186.

Almost surely, 2^4983129216 is an apocalyptic number.

4983129216 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 4983129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777337660).

4983129216 is an abundant number, since it is smaller than the sum of its proper divisors (12571546104).

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

4983129216 is a wasteful number, since it uses less digits than its factorization.

4983129216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4983129216 is about 70591.2828612712. The cubic root of 4983129216 is about 1708.0505371829.

It can be divided in two parts, 498312 and 9216, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 4983129216 in words is "four billion, nine hundred eighty-three million, one hundred twenty-nine thousand, two hundred sixteen".