33085652646672 has 60 divisors (see below), whose sum is σ = 92612511425980. Its totient is φ = 11026331172864.

The previous prime is 33085652646463. The next prime is 33085652646689. The reversal of 33085652646672 is 27664625658033.

33085652646672 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 5 + 6 + 526 + 46 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22949426789136 + 10136225857536 = 4790556^2 + 3183744^2 .

It is a super-2 number, since 2×33085652646672² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22403953 + ... + 23835024.

Almost surely, 2^{33085652646672} is an apocalyptic number.

It is an amenable number.

33085652646672 is an abundant number, since it is smaller than the sum of its proper divisors (59526858779308).

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

33085652646672 is a wasteful number, since it uses less digits than its factorization.

33085652646672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46243960 (or 46243951 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 33085652646672 in words is "thirty-three trillion, eighty-five billion, six hundred fifty-two million, six hundred forty-six thousand, six hundred seventy-two".