20314320000 has 640 divisors, whose sum is σ = 77087324160. Its totient is φ = 4694016000.

The previous prime is 20314319999. The next prime is 20314320001. The reversal of 20314320000 is 2341302.

It is an interprime number because it is at equal distance from previous prime (20314319999) and next prime (20314320001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20314320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53039809 + ... + 53040191.

It is an arithmetic number, because the mean of its divisors is an integer number (120448944).

Almost surely, 2^20314320000 is an apocalyptic number.

20314320000 is a gapful number since it is divisible by the number (20) 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 20314320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38543662080).

20314320000 is an abundant number, since it is smaller than the sum of its proper divisors (56773004160).

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

20314320000 is a wasteful number, since it uses less digits than its factorization.

20314320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20314320000 its reverse (2341302), we get a palindrome (20316661302).

The spelling of 20314320000 in words is "twenty billion, three hundred fourteen million, three hundred twenty thousand".