33234684864 has 224 divisors, whose sum is σ = 93899857920. Its totient is φ = 10355724288.

The previous prime is 33234684851. The next prime is 33234684869. The reversal of 33234684864 is 46848643233.

It is a super-2 number, since 2×33234684864² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33234684869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30406302 + ... + 30407394.

Almost surely, 2^33234684864 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 33234684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46949928960).

33234684864 is an abundant number, since it is smaller than the sum of its proper divisors (60665173056).

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

33234684864 is a wasteful number, since it uses less digits than its factorization.

33234684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 51.

The spelling of 33234684864 in words is "thirty-three billion, two hundred thirty-four million, six hundred eighty-four thousand, eight hundred sixty-four".