33222891809088 has 168 divisors, whose sum is σ = 98089003934376. Its totient is φ = 10744499404800.

The previous prime is 33222891809069. The next prime is 33222891809113. The reversal of 33222891809088 is 88090819822233.

33222891809088 is a `hidden beast` number, since 332 + 2 + 289 + 18 + 0 + 9 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10375562516544 + 22847329292544 = 3221112^2 + 4779888^2 .

It is a super-2 number, since 2×33222891809088² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388320 + ... + 8160672.

It is an arithmetic number, because the mean of its divisors is an integer number (583863118657).

Almost surely, 2^{33222891809088} 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 33222891809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49044501967188).

33222891809088 is an abundant number, since it is smaller than the sum of its proper divisors (64866112125288).

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

33222891809088 is a wasteful number, since it uses less digits than its factorization.

33222891809088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772593 (or 7772580 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 33222891809088 in words is "thirty-three trillion, two hundred twenty-two billion, eight hundred ninety-one million, eight hundred nine thousand, eighty-eight".