33543316242 has 64 divisors (see below), whose sum is σ = 78552011520. Its totient is φ = 10589040000.

The previous prime is 33543316207. The next prime is 33543316273. The reversal of 33543316242 is 24261334533.

33543316242 is a `hidden beast` number, since 33 + 54 + 331 + 6 + 242 = 666.

It is a super-2 number, since 2×33543316242² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33543316197 and 33543316206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8259 + ... + 259142.

It is an arithmetic number, because the mean of its divisors is an integer number (1227375180).

Almost surely, 2^33543316242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33543316242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39276005760).

33543316242 is an abundant number, since it is smaller than the sum of its proper divisors (45008695278).

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

33543316242 is a wasteful number, since it uses less digits than its factorization.

33543316242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267536 (or 267530 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The spelling of 33543316242 in words is "thirty-three billion, five hundred forty-three million, three hundred sixteen thousand, two hundred forty-two".