33500894672 has 120 divisors (see below), whose sum is σ = 77548286592. Its totient is φ = 13970880000.

The previous prime is 33500894659. The next prime is 33500894681. The reversal of 33500894672 is 27649800533.

It is a happy number.

It is a super-2 number, since 2×33500894672² (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 23 ways as a sum of consecutive naturals, for example, 14881547 + ... + 14883797.

Almost surely, 2^33500894672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33500894672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38774143296).

33500894672 is an abundant number, since it is smaller than the sum of its proper divisors (44047391920).

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

33500894672 is a wasteful number, since it uses less digits than its factorization.

33500894672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 33500894672 in words is "thirty-three billion, five hundred million, eight hundred ninety-four thousand, six hundred seventy-two".