33633344052 has 72 divisors (see below), whose sum is σ = 105996002112. Its totient is φ = 8735932800.

The previous prime is 33633344047. The next prime is 33633344053. The reversal of 33633344052 is 25044333633.

It is a super-2 number, since 2×33633344052² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33633343998 and 33633344016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33633344053) 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 23 ways as a sum of consecutive naturals, for example, 6063849 + ... + 6069392.

It is an arithmetic number, because the mean of its divisors is an integer number (1472166696).

Almost surely, 2^33633344052 is an apocalyptic number.

It is an amenable number.

33633344052 is an abundant number, since it is smaller than the sum of its proper divisors (72362658060).

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

33633344052 is a wasteful number, since it uses less digits than its factorization.

33633344052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133269 (or 12133264 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 33633344052 its reverse (25044333633), we get a palindrome (58677677685).

The spelling of 33633344052 in words is "thirty-three billion, six hundred thirty-three million, three hundred forty-four thousand, fifty-two".