4800383136 has 192 divisors, whose sum is σ = 14824857600. Its totient is φ = 1506988800.

The previous prime is 4800383113. The next prime is 4800383191. The reversal of 4800383136 is 6313830084.

It is a happy number.

4800383136 is a nontrivial binomial coefficient, being equal to C(97984, 2).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4800383136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3134691 + ... + 3136221.

It is an arithmetic number, because the mean of its divisors is an integer number (77212800).

Almost surely, 2^4800383136 is an apocalyptic number.

4800383136 is the 97983-rd triangular number and also the 48992-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412428800).

4800383136 is an abundant number, since it is smaller than the sum of its proper divisors (10024474464).

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

4800383136 is a wasteful number, since it uses less digits than its factorization.

4800383136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4800383136 is about 69284.7972934900. The cubic root of 4800383136 is about 1686.9102112730.

The spelling of 4800383136 in words is "four billion, eight hundred million, three hundred eighty-three thousand, one hundred thirty-six".