33214211241232 has 160 divisors (see below), whose sum is σ = 78554652180480. Its totient is φ = 13297315207680.

The previous prime is 33214211241227. The next prime is 33214211241257. The reversal of 33214211241232 is 23214211241233.

33214211241232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33214211241232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 33214211241194 and 33214211241203.

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, 451347513 + ... + 451421095.

It is an arithmetic number, because the mean of its divisors is an integer number (490966576128).

Almost surely, 2^{33214211241232} 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 33214211241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39277326090240).

33214211241232 is an abundant number, since it is smaller than the sum of its proper divisors (45340440939248).

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

33214211241232 is a wasteful number, since it uses less digits than its factorization.

33214211241232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78141 (or 78135 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

Adding to 33214211241232 its reverse (23214211241233), we get a palindrome (56428422482465).

Subtracting from 33214211241232 its reverse (23214211241233), we obtain a palindrome (9999999999999).

The spelling of 33214211241232 in words is "thirty-three trillion, two hundred fourteen billion, two hundred eleven million, two hundred forty-one thousand, two hundred thirty-two".