20320353144 has 384 divisors, whose sum is σ = 70349299200. Its totient is φ = 5321272320.

The previous prime is 20320353143. The next prime is 20320353173. The reversal of 20320353144 is 44135302302.

20320353144 is a `hidden beast` number, since 20 + 320 + 3 + 5 + 314 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320353143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71803227 + ... + 71803509.

It is an arithmetic number, because the mean of its divisors is an integer number (183201300).

Almost surely, 2^20320353144 is an apocalyptic number.

20320353144 is a gapful number since it is divisible by the number (24) 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 20320353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35174649600).

20320353144 is an abundant number, since it is smaller than the sum of its proper divisors (50028946056).

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

20320353144 is a wasteful number, since it uses less digits than its factorization.

20320353144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20320353144 its reverse (44135302302), we get a palindrome (64455655446).

The spelling of 20320353144 in words is "twenty billion, three hundred twenty million, three hundred fifty-three thousand, one hundred forty-four".