33850664064 has 192 divisors, whose sum is σ = 112987717440. Its totient is φ = 9527113728.

The previous prime is 33850664063. The next prime is 33850664077. The reversal of 33850664064 is 46046605833.

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

It is a super-2 number, since 2×33850664064² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33850664063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508962 + ... + 571614.

It is an arithmetic number, because the mean of its divisors is an integer number (588477695).

Almost surely, 2^33850664064 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 33850664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56493858720).

33850664064 is an abundant number, since it is smaller than the sum of its proper divisors (79137053376).

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

33850664064 is a wasteful number, since it uses less digits than its factorization.

33850664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62747 (or 62732 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 33850664064 in words is "thirty-three billion, eight hundred fifty million, six hundred sixty-four thousand, sixty-four".