20384550144 has 216 divisors, whose sum is σ = 67550700672. Its totient is φ = 5791150080.

The previous prime is 20384550127. The next prime is 20384550203. The reversal of 20384550144 is 44105548302.

It is a happy number.

20384550144 is a `hidden beast` number, since 20 + 3 + 84 + 550 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20384550099 and 20384550108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2915677 + ... + 2922659.

Almost surely, 2^20384550144 is an apocalyptic number.

20384550144 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 20384550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33775350336).

20384550144 is an abundant number, since it is smaller than the sum of its proper divisors (47166150528).

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

20384550144 is a wasteful number, since it uses less digits than its factorization.

20384550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 20384550144 in words is "twenty billion, three hundred eighty-four million, five hundred fifty thousand, one hundred forty-four".