33414034312144 has 160 divisors (see below), whose sum is σ = 68779662105600. Its totient is φ = 15692388940800.

The previous prime is 33414034312103. The next prime is 33414034312147. The reversal of 33414034312144 is 44121343041433.

It is a super-2 number, since 2×33414034312144² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33414034312147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19666882207 + ... + 19666883905.

It is an arithmetic number, because the mean of its divisors is an integer number (429872888160).

Almost surely, 2^{33414034312144} 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 33414034312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34389831052800).

33414034312144 is an abundant number, since it is smaller than the sum of its proper divisors (35365627793456).

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

33414034312144 is a wasteful number, since it uses less digits than its factorization.

33414034312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 33414034312144 its reverse (44121343041433), we get a palindrome (77535377353577).

The spelling of 33414034312144 in words is "thirty-three trillion, four hundred fourteen billion, thirty-four million, three hundred twelve thousand, one hundred forty-four".