22141633750080 has 672 divisors, whose sum is σ = 77387576878080. Its totient is φ = 5360118865920.

The previous prime is 22141633750073. The next prime is 22141633750081. The reversal of 22141633750080 is 8005733614122.

It is not an unprimeable number, because it can be changed into a prime (22141633750081) 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, 5102932551 + ... + 5102936889.

It is an arithmetic number, because the mean of its divisors is an integer number (115160084640).

Almost surely, 2^{22141633750080} is an apocalyptic number.

22141633750080 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 22141633750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38693788439040).

22141633750080 is an abundant number, since it is smaller than the sum of its proper divisors (55245943128000).

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

22141633750080 is a wasteful number, since it uses less digits than its factorization.

22141633750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 22141633750080 in words is "twenty-two trillion, one hundred forty-one billion, six hundred thirty-three million, seven hundred fifty thousand, eighty".