33049611648 has 192 divisors, whose sum is σ = 97404353280. Its totient is φ = 10753182720.

The previous prime is 33049611643. The next prime is 33049611653. The reversal of 33049611648 is 84611694033.

33049611648 is a `hidden beast` number, since 3 + 3 + 0 + 496 + 116 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (33049611643) and next prime (33049611653).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33049611643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8422615 + ... + 8426537.

It is an arithmetic number, because the mean of its divisors is an integer number (507314340).

Almost surely, 2^33049611648 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 33049611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48702176640).

33049611648 is an abundant number, since it is smaller than the sum of its proper divisors (64354741632).

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

33049611648 is a wasteful number, since it uses less digits than its factorization.

33049611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 33049611648 in words is "thirty-three billion, forty-nine million, six hundred eleven thousand, six hundred forty-eight".