22033450618320 has 640 divisors, whose sum is σ = 74156732236800. Its totient is φ = 5396972765184.

The previous prime is 22033450618307. The next prime is 22033450618327. The reversal of 22033450618320 is 2381605433022.

It is a super-2 number, since 2×22033450618320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033450618327) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 19867853926 + ... + 19867855034.

It is an arithmetic number, because the mean of its divisors is an integer number (115869894120).

Almost surely, 2^{22033450618320} is an apocalyptic number.

22033450618320 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 22033450618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37078366118400).

22033450618320 is an abundant number, since it is smaller than the sum of its proper divisors (52123281618480).

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

22033450618320 is a wasteful number, since it uses less digits than its factorization.

22033450618320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 22033450618320 in words is "twenty-two trillion, thirty-three billion, four hundred fifty million, six hundred eighteen thousand, three hundred twenty".