33506485218 has 128 divisors (see below), whose sum is σ = 81997920000. Its totient is φ = 10100547072.

The previous prime is 33506485213. The next prime is 33506485283. The reversal of 33506485218 is 81258460533.

33506485218 is a `hidden beast` number, since 3 + 350 + 6 + 4 + 85 + 218 = 666.

It is a super-2 number, since 2×33506485218² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33506485213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2641780 + ... + 2654432.

It is an arithmetic number, because the mean of its divisors is an integer number (640608750).

Almost surely, 2^33506485218 is an apocalyptic number.

33506485218 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33506485218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40998960000).

33506485218 is an abundant number, since it is smaller than the sum of its proper divisors (48491434782).

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

33506485218 is a wasteful number, since it uses less digits than its factorization.

33506485218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801 (or 12795 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 33506485218 in words is "thirty-three billion, five hundred six million, four hundred eighty-five thousand, two hundred eighteen".