20424312144 has 90 divisors (see below), whose sum is σ = 57482352330. Its totient is φ = 6769761408.

The previous prime is 20424312101. The next prime is 20424312191. The reversal of 20424312144 is 44121342402.

20424312144 is a `hidden beast` number, since 20 + 424 + 3 + 1 + 214 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20067555600 + 356756544 = 141660^2 + 18888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25951719 + ... + 25952505.

Almost surely, 2^20424312144 is an apocalyptic number.

20424312144 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 20424312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28741176165).

20424312144 is an abundant number, since it is smaller than the sum of its proper divisors (37058040186).

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

20424312144 is an equidigital number, since it uses as much as digits as its factorization.

20424312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20424312144 its reverse (44121342402), we get a palindrome (64545654546).

The spelling of 20424312144 in words is "twenty billion, four hundred twenty-four million, three hundred twelve thousand, one hundred forty-four".