21838434634368 has 768 divisors, whose sum is σ = 74567328675840. Its totient is φ = 6297402101760.

The previous prime is 21838434634307. The next prime is 21838434634369. The reversal of 21838434634368 is 86343643483812.

21838434634368 is a `hidden beast` number, since 2 + 1 + 8 + 38 + 43 + 463 + 43 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21838434634369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550247421 + ... + 1550261507.

It is an arithmetic number, because the mean of its divisors is an integer number (97092875880).

Almost surely, 2^{21838434634368} 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 21838434634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37283664337920).

21838434634368 is an abundant number, since it is smaller than the sum of its proper divisors (52728894041472).

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

21838434634368 is a wasteful number, since it uses less digits than its factorization.

21838434634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14323 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 21838434634368 in words is "twenty-one trillion, eight hundred thirty-eight billion, four hundred thirty-four million, six hundred thirty-four thousand, three hundred sixty-eight".