33649706112 has 128 divisors (see below), whose sum is σ = 97605285120. Its totient is φ = 10186675200.

The previous prime is 33649706093. The next prime is 33649706117. The reversal of 33649706112 is 21160794633.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33649706112² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33649706117) 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 15 ways as a sum of consecutive naturals, for example, 4942903 + ... + 4949705.

It is an arithmetic number, because the mean of its divisors is an integer number (762541290).

Almost surely, 2^33649706112 is an apocalyptic number.

33649706112 is a gapful number since it is divisible by the number (32) 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 33649706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48802642560).

33649706112 is an abundant number, since it is smaller than the sum of its proper divisors (63955579008).

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

33649706112 is a wasteful number, since it uses less digits than its factorization.

33649706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 33649706112 in words is "thirty-three billion, six hundred forty-nine million, seven hundred six thousand, one hundred twelve".