20338456320 has 1152 divisors, whose sum is σ = 92303769600. Its totient is φ = 4124639232.

The previous prime is 20338456289. The next prime is 20338456361. The reversal of 20338456320 is 2365483302.

It is a happy number.

20338456320 is a `hidden beast` number, since 203 + 3 + 84 + 56 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91203729 + ... + 91203951.

It is an arithmetic number, because the mean of its divisors is an integer number (80124800).

Almost surely, 2^20338456320 is an apocalyptic number.

20338456320 is a gapful number since it is divisible by the number (20) 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 20338456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46151884800).

20338456320 is an abundant number, since it is smaller than the sum of its proper divisors (71965313280).

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

20338456320 is a wasteful number, since it uses less digits than its factorization.

20338456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20338456320 in words is "twenty billion, three hundred thirty-eight million, four hundred fifty-six thousand, three hundred twenty".