33982341649 has 9 divisors (see below), whose sum is σ = 34412194299. Its totient is φ = 33557799720.

The previous prime is 33982341623. The next prime is 33982341661. The reversal of 33982341649 is 94614328933.

It is a happy number.

The square root of 33982341649 is 184343.

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

It can be written as a sum of positive squares in only one way, i.e., 23045365249 + 10936976400 = 151807^2 + 104580^2 .

It is not a de Polignac number, because 33982341649 - 2⁹ = 33982341137 is a prime.

It is a Duffinian number.

Its product of digits (3359232) is a multiple of the sum of its prime divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 33982341596 and 33982341605.

It is not an unprimeable number, because it can be changed into a prime (33982341619) 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, 15299359 + ... + 15301579.

Almost surely, 2^33982341649 is an apocalyptic number.

33982341649 is the 184343-rd square number.

33982341649 is the 92172-nd centered octagonal number.

It is an amenable number.

33982341649 is a deficient number, since it is larger than the sum of its proper divisors (429852650).

33982341649 is an frugal number, since it uses more digits than its factorization.

33982341649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 2304 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 52.

The spelling of 33982341649 in words is "thirty-three billion, nine hundred eighty-two million, three hundred forty-one thousand, six hundred forty-nine".