20338048224 has 144 divisors (see below), whose sum is σ = 62777175552. Its totient is φ = 6208441344.

The previous prime is 20338048187. The next prime is 20338048279. The reversal of 20338048224 is 42284083302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 454102 + ... + 496874.

It is an arithmetic number, because the mean of its divisors is an integer number (435952608).

Almost surely, 2^20338048224 is an apocalyptic number.

20338048224 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 20338048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31388587776).

20338048224 is an abundant number, since it is smaller than the sum of its proper divisors (42439127328).

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

20338048224 is a wasteful number, since it uses less digits than its factorization.

20338048224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42929 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20338048224 in words is "twenty billion, three hundred thirty-eight million, forty-eight thousand, two hundred twenty-four".