21938230042176 has 224 divisors, whose sum is σ = 70318998312192. Its totient is φ = 5892654366720.

The previous prime is 21938230042163. The next prime is 21938230042181. The reversal of 21938230042176 is 67124003283912.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19584150 + ... + 20674026.

It is an arithmetic number, because the mean of its divisors is an integer number (313924099608).

Almost surely, 2^{21938230042176} 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 21938230042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35159499156096).

21938230042176 is an abundant number, since it is smaller than the sum of its proper divisors (48380768270016).

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

21938230042176 is a wasteful number, since it uses less digits than its factorization.

21938230042176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090797 (or 1090787 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 21938230042176 in words is "twenty-one trillion, nine hundred thirty-eight billion, two hundred thirty million, forty-two thousand, one hundred seventy-six".