20314224000 has 576 divisors, whose sum is σ = 84893702400. Its totient is φ = 4641638400.

The previous prime is 20314223999. The next prime is 20314224023. The reversal of 20314224000 is 42241302.

20314224000 is a `hidden beast` number, since 203 + 1 + 422 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7054561 + ... + 7057439.

It is an arithmetic number, because the mean of its divisors is an integer number (147384900).

Almost surely, 2^20314224000 is an apocalyptic number.

20314224000 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 20314224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42446851200).

20314224000 is an abundant number, since it is smaller than the sum of its proper divisors (64579478400).

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

20314224000 is a wasteful number, since it uses less digits than its factorization.

20314224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20314224000 its reverse (42241302), we get a palindrome (20356465302).

The spelling of 20314224000 in words is "twenty billion, three hundred fourteen million, two hundred twenty-four thousand".