20338334448768 has 1152 divisors, whose sum is σ = 71435590786560. Its totient is φ = 5439268454400.

The previous prime is 20338334448749. The next prime is 20338334448779. The reversal of 20338334448768 is 86784443383302.

It is a happy number.

20338334448768 is a `hidden beast` number, since 2 + 0 + 33 + 83 + 3 + 44 + 487 + 6 + 8 = 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75049204473 + ... + 75049204743.

Almost surely, 2^{20338334448768} is an apocalyptic number.

20338334448768 is a gapful number since it is divisible by the number (28) 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 20338334448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717795393280).

20338334448768 is an abundant number, since it is smaller than the sum of its proper divisors (51097256337792).

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

20338334448768 is a wasteful number, since it uses less digits than its factorization.

20338334448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 20338334448768 in words is "twenty trillion, three hundred thirty-eight billion, three hundred thirty-four million, four hundred forty-eight thousand, seven hundred sixty-eight".