33120468468 has 18 divisors (see below), whose sum is σ = 83721184274. Its totient is φ = 11040156144.

The previous prime is 33120468461. The next prime is 33120468527. The reversal of 33120468468 is 86486402133.

33120468468 is a `hidden beast` number, since 3 + 3 + 120 + 4 + 68 + 468 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20420981604 + 12699486864 = 142902^2 + 112692^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120468461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460006471 + ... + 460006542.

Almost surely, 2^33120468468 is an apocalyptic number.

It is an amenable number.

33120468468 is an abundant number, since it is smaller than the sum of its proper divisors (50600715806).

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

33120468468 is a wasteful number, since it uses less digits than its factorization.

33120468468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920013023 (or 920013018 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 33120468468 in words is "thirty-three billion, one hundred twenty million, four hundred sixty-eight thousand, four hundred sixty-eight".