33604965096966 has 48 divisors (see below), whose sum is σ = 75618825328800. Its totient is φ = 10776447944064.

The previous prime is 33604965096919. The next prime is 33604965097019. The reversal of 33604965096966 is 66969056940633.

33604965096966 is a `hidden beast` number, since 3 + 3 + 604 + 9 + 6 + 5 + 0 + 9 + 6 + 9 + 6 + 6 = 666.

It is a super-2 number, since 2×33604965096966² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33604965096894 and 33604965096903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283412106 + ... + 283530653.

It is an arithmetic number, because the mean of its divisors is an integer number (1575392194350).

Almost surely, 2^{33604965096966} is an apocalyptic number.

33604965096966 is an abundant number, since it is smaller than the sum of its proper divisors (42013860231834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33604965096966 is a wasteful number, since it uses less digits than its factorization.

33604965096966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566942893 (or 566942890 counting only the distinct ones).

The product of its (nonzero) digits is 1020366720, while the sum is 72.

The spelling of 33604965096966 in words is "thirty-three trillion, six hundred four billion, nine hundred sixty-five million, ninety-six thousand, nine hundred sixty-six".