4613116200 has 384 divisors, whose sum is σ = 18410250240. Its totient is φ = 927360000.

The previous prime is 4613116163. The next prime is 4613116213. The reversal of 4613116200 is 26113164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1430590 + ... + 1433810.

It is an arithmetic number, because the mean of its divisors is an integer number (47943360).

Almost surely, 2^4613116200 is an apocalyptic number.

4613116200 is a gapful number since it is divisible by the number (40) 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 4613116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205125120).

4613116200 is an abundant number, since it is smaller than the sum of its proper divisors (13797134040).

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

4613116200 is a wasteful number, since it uses less digits than its factorization.

4613116200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4613116200 is about 67919.9249116193. The cubic root of 4613116200 is about 1664.6826943605.

Adding to 4613116200 its reverse (26113164), we get a palindrome (4639229364).

The spelling of 4613116200 in words is "four billion, six hundred thirteen million, one hundred sixteen thousand, two hundred".