21938296798368 has 288 divisors, whose sum is σ = 63414941990400. Its totient is φ = 7193116389888.

The previous prime is 21938296798351. The next prime is 21938296798373. The reversal of 21938296798368 is 86389769283912.

21938296798368 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 82 + 96 + 7 + 98 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7125135453 + ... + 7125138531.

It is an arithmetic number, because the mean of its divisors is an integer number (220190770800).

Almost surely, 2^{21938296798368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21938296798368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707470995200).

21938296798368 is an abundant number, since it is smaller than the sum of its proper divisors (41476645192032).

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

21938296798368 is a wasteful number, since it uses less digits than its factorization.

21938296798368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4373 counting only the distinct ones).

The product of its digits is 3386105856, while the sum is 81.

The spelling of 21938296798368 in words is "twenty-one trillion, nine hundred thirty-eight billion, two hundred ninety-six million, seven hundred ninety-eight thousand, three hundred sixty-eight".