33846864768 has 160 divisors (see below), whose sum is σ = 105107927760. Its totient is φ = 10791677952.

The previous prime is 33846864761. The next prime is 33846864769. The reversal of 33846864768 is 86746864833.

33846864768 is a `hidden beast` number, since 3 + 3 + 84 + 6 + 86 + 476 + 8 = 666.

It is a super-2 number, since 2×33846864768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33846864761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 167496 + ... + 309432.

Almost surely, 2^33846864768 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 33846864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553963880).

33846864768 is an abundant number, since it is smaller than the sum of its proper divisors (71261062992).

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

33846864768 is a wasteful number, since it uses less digits than its factorization.

33846864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141986 (or 141965 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 33846864768 in words is "thirty-three billion, eight hundred forty-six million, eight hundred sixty-four thousand, seven hundred sixty-eight".