33322134144 has 64 divisors (see below), whose sum is σ = 95320542240. Its totient is φ = 10252962816.

The previous prime is 33322134107. The next prime is 33322134149. The reversal of 33322134144 is 44143122333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33322134144² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33322134149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3332562 + ... + 3342545.

Almost surely, 2^33322134144 is an apocalyptic number.

It is an amenable number.

33322134144 is an abundant number, since it is smaller than the sum of its proper divisors (61998408096).

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

33322134144 is a wasteful number, since it uses less digits than its factorization.

33322134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675137 (or 6675125 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 33322134144 its reverse (44143122333), we get a palindrome (77465256477).

The spelling of 33322134144 in words is "thirty-three billion, three hundred twenty-two million, one hundred thirty-four thousand, one hundred forty-four".