33833088049 has 16 divisors (see below), whose sum is σ = 34358268672. Its totient is φ = 33312227328.

The previous prime is 33833088041. The next prime is 33833088071. The reversal of 33833088049 is 94088033833.

It is a cyclic number.

It is not a de Polignac number, because 33833088049 - 2³ = 33833088041 is a prime.

It is a super-2 number, since 2×33833088049² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33833087993 and 33833088011.

It is not an unprimeable number, because it can be changed into a prime (33833088041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21784857 + ... + 21786409.

It is an arithmetic number, because the mean of its divisors is an integer number (2147391792).

Almost surely, 2^33833088049 is an apocalyptic number.

It is an amenable number.

33833088049 is a deficient number, since it is larger than the sum of its proper divisors (525180623).

33833088049 is a wasteful number, since it uses less digits than its factorization.

33833088049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736.

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 33833088049 in words is "thirty-three billion, eight hundred thirty-three million, eighty-eight thousand, forty-nine".