33949168009 has 9 divisors (see below), whose sum is σ = 35493825549. Its totient is φ = 32469063660.

The previous prime is 33949167983. The next prime is 33949168051. The reversal of 33949168009 is 90086194933.

The square root of 33949168009 is 184253.

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

It is not a de Polignac number, because 33949168009 - 2²⁵ = 33915613577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33949160009) 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 8 ways as a sum of consecutive naturals, for example, 4233814 + ... + 4241824.

Almost surely, 2^33949168009 is an apocalyptic number.

33949168009 is the 184253-rd square number.

33949168009 is the 92127-th centered octagonal number.

It is an amenable number.

33949168009 is a deficient number, since it is larger than the sum of its proper divisors (1544657540).

33949168009 is an frugal number, since it uses more digits than its factorization.

33949168009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 33949168009 in words is "thirty-three billion, nine hundred forty-nine million, one hundred sixty-eight thousand, nine".