33800652864 has 224 divisors, whose sum is σ = 109420761600. Its totient is φ = 10146286080.

The previous prime is 33800652859. The next prime is 33800652911. The reversal of 33800652864 is 46825600833.

It is a happy number.

It is a super-2 number, since 2×33800652864² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025547 + ... + 2042165.

Almost surely, 2^33800652864 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 33800652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54710380800).

33800652864 is an abundant number, since it is smaller than the sum of its proper divisors (75620108736).

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

33800652864 is a wasteful number, since it uses less digits than its factorization.

33800652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16758 (or 16742 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 33800652864 in words is "thirty-three billion, eight hundred million, six hundred fifty-two thousand, eight hundred sixty-four".