33912201066768 has 120 divisors (see below), whose sum is σ = 95366329641440. Its totient is φ = 11249429713920.

The previous prime is 33912201066761. The next prime is 33912201066781. The reversal of 33912201066768 is 86766010221933.

33912201066768 is a `hidden beast` number, since 339 + 1 + 220 + 10 + 6 + 6 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (33912201066761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50298255 + ... + 50968017.

Almost surely, 2^{33912201066768} 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 33912201066768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47683164820720).

33912201066768 is an abundant number, since it is smaller than the sum of its proper divisors (61454128574672).

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

33912201066768 is a wasteful number, since it uses less digits than its factorization.

33912201066768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671477 (or 671468 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 33912201066768 in words is "thirty-three trillion, nine hundred twelve billion, two hundred one million, sixty-six thousand, seven hundred sixty-eight".