33438256668 has 72 divisors (see below), whose sum is σ = 86684598000. Its totient is φ = 10862401536.

The previous prime is 33438256633. The next prime is 33438256697. The reversal of 33438256668 is 86665283433.

It is a super-2 number, since 2×33438256668² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 670998 + ... + 719106.

It is an arithmetic number, because the mean of its divisors is an integer number (1203952750).

Almost surely, 2^33438256668 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 33438256668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43342299000).

33438256668 is an abundant number, since it is smaller than the sum of its proper divisors (53246341332).

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

33438256668 is a wasteful number, since it uses less digits than its factorization.

33438256668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48611 (or 48606 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 33438256668 in words is "thirty-three billion, four hundred thirty-eight million, two hundred fifty-six thousand, six hundred sixty-eight".