4516314000 has 320 divisors, whose sum is σ = 16281457920. Its totient is φ = 1067520000.

The previous prime is 4516313999. The next prime is 4516314001. The reversal of 4516314000 is 4136154.

It is an interprime number because it is at equal distance from previous prime (4516313999) and next prime (4516314001).

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

It is not an unprimeable number, because it can be changed into a prime (4516314001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2705166 + ... + 2706834.

It is an arithmetic number, because the mean of its divisors is an integer number (50879556).

Almost surely, 2^4516314000 is an apocalyptic number.

4516314000 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 4516314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140728960).

4516314000 is an abundant number, since it is smaller than the sum of its proper divisors (11765143920).

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

4516314000 is a wasteful number, since it uses less digits than its factorization.

4516314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4516314000 is about 67203.5266931729. The cubic root of 4516314000 is about 1652.9563161465.

The spelling of 4516314000 in words is "four billion, five hundred sixteen million, three hundred fourteen thousand".