33438000289 has 16 divisors (see below), whose sum is σ = 33775488000. Its totient is φ = 33102913536.

The previous prime is 33438000287. The next prime is 33438000313. The reversal of 33438000289 is 98200083433.

It is a cyclic number.

It is not a de Polignac number, because 33438000289 - 2¹ = 33438000287 is a prime.

It is a super-2 number, since 2×33438000289² (a number of 22 digits) contains 22 as substring.

It is a deceptive number, since it divides R_33438000288.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33438000287) 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, 49684657 + ... + 49685329.

It is an arithmetic number, because the mean of its divisors is an integer number (2110968000).

Almost surely, 2^33438000289 is an apocalyptic number.

It is an amenable number.

33438000289 is a deficient number, since it is larger than the sum of its proper divisors (337487711).

33438000289 is a wasteful number, since it uses less digits than its factorization.

33438000289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 33438000289 in words is "thirty-three billion, four hundred thirty-eight million, two hundred eighty-nine", and thus it is an aban number.