34133211444 has 24 divisors (see below), whose sum is σ = 80178688800. Its totient is φ = 11301375904.

The previous prime is 34133211407. The next prime is 34133211467. The reversal of 34133211444 is 44411233143.

It is a super-2 number, since 2×34133211444² (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 a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9543294 + ... + 9546869.

It is an arithmetic number, because the mean of its divisors is an integer number (3340778700).

Almost surely, 2^34133211444 is an apocalyptic number.

It is an amenable number.

34133211444 is an abundant number, since it is smaller than the sum of its proper divisors (46045477356).

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

34133211444 is a wasteful number, since it uses less digits than its factorization.

34133211444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19090319 (or 19090317 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 34133211444 its reverse (44411233143), we get a palindrome (78544444587).

The spelling of 34133211444 in words is "thirty-four billion, one hundred thirty-three million, two hundred eleven thousand, four hundred forty-four".