33664223142 has 96 divisors (see below), whose sum is σ = 86460042240. Its totient is φ = 9352584000.

The previous prime is 33664223129. The next prime is 33664223143. The reversal of 33664223142 is 24132246633.

33664223142 is a `hidden beast` number, since 3 + 3 + 6 + 642 + 2 + 3 + 1 + 4 + 2 = 666.

It is a super-2 number, since 2×33664223142² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33664223097 and 33664223106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33664223143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27709 + ... + 260952.

It is an arithmetic number, because the mean of its divisors is an integer number (900625440).

Almost surely, 2^33664223142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33664223142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43230021120).

33664223142 is an abundant number, since it is smaller than the sum of its proper divisors (52795819098).

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

33664223142 is a wasteful number, since it uses less digits than its factorization.

33664223142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288730 (or 288727 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 33664223142 its reverse (24132246633), we get a palindrome (57796469775).

The spelling of 33664223142 in words is "thirty-three billion, six hundred sixty-four million, two hundred twenty-three thousand, one hundred forty-two".