33853085664 has 24 divisors (see below), whose sum is σ = 88864350120. Its totient is φ = 11284361856.

The previous prime is 33853085611. The next prime is 33853085671. The reversal of 33853085664 is 46658035833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33853085664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 176318059 + ... + 176318250.

It is an arithmetic number, because the mean of its divisors is an integer number (3702681255).

Almost surely, 2^33853085664 is an apocalyptic number.

It is an amenable number.

33853085664 is an abundant number, since it is smaller than the sum of its proper divisors (55011264456).

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

33853085664 is a wasteful number, since it uses less digits than its factorization.

33853085664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352636322 (or 352636314 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 33853085664 in words is "thirty-three billion, eight hundred fifty-three million, eighty-five thousand, six hundred sixty-four".