20613144384 has 420 divisors, whose sum is σ = 74838519360. Its totient is φ = 5578191360.

The previous prime is 20613144353. The next prime is 20613144397. The reversal of 20613144384 is 48344131602.

20613144384 is a `hidden beast` number, since 2 + 0 + 6 + 131 + 443 + 84 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4824169 + ... + 4828439.

Almost surely, 2^20613144384 is an apocalyptic number.

20613144384 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 20613144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37419259680).

20613144384 is an abundant number, since it is smaller than the sum of its proper divisors (54225374976).

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

20613144384 is a wasteful number, since it uses less digits than its factorization.

20613144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 20613144384 its reverse (48344131602), we get a palindrome (68957275986).

The spelling of 20613144384 in words is "twenty billion, six hundred thirteen million, one hundred forty-four thousand, three hundred eighty-four".