33223113191952 has 160 divisors (see below), whose sum is σ = 96335001903360. Its totient is φ = 10961988111360.

The previous prime is 33223113191951. The next prime is 33223113191971. The reversal of 33223113191952 is 25919131132233.

It is a happy number.

33223113191952 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 311 + 319 + 19 + 5 + 2 = 666.

It is a super-2 number, since 2×33223113191952² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33223113191898 and 33223113191907.

It is not an unprimeable number, because it can be changed into a prime (33223113191951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16906452 + ... + 18768972.

It is an arithmetic number, because the mean of its divisors is an integer number (602093761896).

Almost surely, 2^{33223113191952} 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 33223113191952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48167500951680).

33223113191952 is an abundant number, since it is smaller than the sum of its proper divisors (63111888711408).

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

33223113191952 is a wasteful number, since it uses less digits than its factorization.

33223113191952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862958 (or 1862946 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 33223113191952 in words is "thirty-three trillion, two hundred twenty-three billion, one hundred thirteen million, one hundred ninety-one thousand, nine hundred fifty-two".