33321946849 has 9 divisors (see below), whose sum is σ = 33493501587. Its totient is φ = 33151269144.

The previous prime is 33321946843. The next prime is 33321946913. The reversal of 33321946849 is 94864912333.

It is a happy number.

The square root of 33321946849 is 182543.

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., 5743366225 + 27578580624 = 75785^2 + 166068^2 .

It is not a de Polignac number, because 33321946849 - 2⁵ = 33321946817 is a prime.

It is a super-2 number, since 2×33321946849² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33321946796 and 33321946805.

It is not an unprimeable number, because it can be changed into a prime (33321946843) 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, 50564082 + ... + 50564740.

Almost surely, 2^33321946849 is an apocalyptic number.

33321946849 is the 182543-rd square number.

33321946849 is the 91272-nd centered octagonal number.

It is an amenable number.

33321946849 is a deficient number, since it is larger than the sum of its proper divisors (171554738).

33321946849 is an frugal number, since it uses more digits than its factorization.

33321946849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

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

The spelling of 33321946849 in words is "thirty-three billion, three hundred twenty-one million, nine hundred forty-six thousand, eight hundred forty-nine".