22200135301344 has 384 divisors, whose sum is σ = 78723912572928. Its totient is φ = 5290051368960.

The previous prime is 22200135301319. The next prime is 22200135301381. The reversal of 22200135301344 is 44310353100222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14954997 + ... + 16372299.

It is an arithmetic number, because the mean of its divisors is an integer number (205010188992).

Almost surely, 2^{22200135301344} is an apocalyptic number.

22200135301344 is a gapful number since it is divisible by the number (24) 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 22200135301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39361956286464).

22200135301344 is an abundant number, since it is smaller than the sum of its proper divisors (56523777271584).

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

22200135301344 is a wasteful number, since it uses less digits than its factorization.

22200135301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417510 (or 1417502 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 22200135301344 its reverse (44310353100222), we get a palindrome (66510488401566).

The spelling of 22200135301344 in words is "twenty-two trillion, two hundred billion, one hundred thirty-five million, three hundred one thousand, three hundred forty-four".