33964941249 has 8 divisors (see below), whose sum is σ = 50318431520. Its totient is φ = 22643294148.

The previous prime is 33964941221. The next prime is 33964941281. The reversal of 33964941249 is 94214946933.

33964941249 is a `hidden beast` number, since 3 + 396 + 4 + 9 + 4 + 1 + 249 = 666.

It is not a de Polignac number, because 33964941249 - 2²⁰ = 33963892673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33964941195 and 33964941204.

It is not an unprimeable number, because it can be changed into a prime (33964941209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628980367 + ... + 628980420.

It is an arithmetic number, because the mean of its divisors is an integer number (6289803940).

Almost surely, 2^33964941249 is an apocalyptic number.

It is an amenable number.

33964941249 is a deficient number, since it is larger than the sum of its proper divisors (16353490271).

33964941249 is a wasteful number, since it uses less digits than its factorization.

33964941249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257960796 (or 1257960790 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 33964941249 in words is "thirty-three billion, nine hundred sixty-four million, nine hundred forty-one thousand, two hundred forty-nine".