33434242656556 has 96 divisors (see below), whose sum is σ = 74636212492800. Its totient is φ = 12757795384320.

The previous prime is 33434242656473. The next prime is 33434242656557. The reversal of 33434242656556 is 65565624243433.

It is a super-3 number, since 3×33434242656556³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33434242656556.

It is not an unprimeable number, because it can be changed into a prime (33434242656557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3574410 + ... + 8924398.

It is an arithmetic number, because the mean of its divisors is an integer number (777460546800).

Almost surely, 2^{33434242656556} 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 33434242656556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37318106246400).

33434242656556 is an abundant number, since it is smaller than the sum of its proper divisors (41201969836244).

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

33434242656556 is a wasteful number, since it uses less digits than its factorization.

33434242656556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350727 (or 5350725 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 58.

Adding to 33434242656556 its reverse (65565624243433), we get a palindrome (98999866899989).

The spelling of 33434242656556 in words is "thirty-three trillion, four hundred thirty-four billion, two hundred forty-two million, six hundred fifty-six thousand, five hundred fifty-six".