33414743209 has 9 divisors (see below), whose sum is σ = 34066983013. Its totient is φ = 32774770912.

The previous prime is 33414743191. The next prime is 33414743251. The reversal of 33414743209 is 90234741433.

The square root of 33414743209 is 182797.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7244563225 + 26170179984 = 85115^2 + 161772^2 .

It is not a de Polignac number, because 33414743209 - 2⁷ = 33414743081 is a prime.

It is a super-2 number, since 2×33414743209² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33414743269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9686517 + ... + 9689965.

Almost surely, 2^33414743209 is an apocalyptic number.

33414743209 is the 182797-th square number.

33414743209 is the 91399-th centered octagonal number.

It is an amenable number.

33414743209 is a deficient number, since it is larger than the sum of its proper divisors (652239804).

33414743209 is an frugal number, since it uses more digits than its factorization.

33414743209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 33414743209 in words is "thirty-three billion, four hundred fourteen million, seven hundred forty-three thousand, two hundred nine".