33225302086088 has 108 divisors (see below), whose sum is σ = 72764624585835. Its totient is φ = 14181456422112.

The previous prime is 33225302086061. The next prime is 33225302086117. The reversal of 33225302086088 is 88068020352233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 16612651043044 + 16612651043044 = 4075862^2 + 4075862^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4075862.

It is a super-3 number, since 3×33225302086088³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 39601074773 + ... + 39601075611.

Almost surely, 2^{33225302086088} 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 33225302086088

33225302086088 is an abundant number, since it is smaller than the sum of its proper divisors (39539322499747).

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

33225302086088 is an frugal number, since it uses more digits than its factorization.

33225302086088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 33225302086088 in words is "thirty-three trillion, two hundred twenty-five billion, three hundred two million, eighty-six thousand, eighty-eight".