4814316000 has 672 divisors, whose sum is σ = 19249671168. Its totient is φ = 1175731200.

The previous prime is 4814315999. The next prime is 4814316019. The reversal of 4814316000 is 6134184.

4814316000 is a `hidden beast` number, since 48 + 14 + 3 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37907937 + ... + 37908063.

It is an arithmetic number, because the mean of its divisors is an integer number (28645344).

Almost surely, 2^4814316000 is an apocalyptic number.

4814316000 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 4814316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624835584).

4814316000 is an abundant number, since it is smaller than the sum of its proper divisors (14435355168).

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

4814316000 is a wasteful number, since it uses less digits than its factorization.

4814316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4814316000 is about 69385.2722124804. The cubic root of 4814316000 is about 1688.5406914008.

The spelling of 4814316000 in words is "four billion, eight hundred fourteen million, three hundred sixteen thousand".