33144013314 has 24 divisors (see below), whose sum is σ = 76036266540. Its totient is φ = 10398121728.

The previous prime is 33144013249. The next prime is 33144013333. The reversal of 33144013314 is 41331044133.

33144013314 is a `hidden beast` number, since 331 + 4 + 4 + 0 + 13 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26093556225 + 7050457089 = 161535^2 + 83967^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54156579 + ... + 54157190.

Almost surely, 2^33144013314 is an apocalyptic number.

33144013314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33144013314 is an abundant number, since it is smaller than the sum of its proper divisors (42892253226).

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

33144013314 is a wasteful number, since it uses less digits than its factorization.

33144013314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108313794 (or 108313791 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33144013314 its reverse (41331044133), we get a palindrome (74475057447).

The spelling of 33144013314 in words is "thirty-three billion, one hundred forty-four million, thirteen thousand, three hundred fourteen".