34142314112 has 64 divisors (see below), whose sum is σ = 68633278560. Its totient is φ = 16917089280.

The previous prime is 34142314111. The next prime is 34142314127. The reversal of 34142314112 is 21141324143.

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

It is a super-2 number, since 2×34142314112² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34142314111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23021723 + ... + 23023205.

Almost surely, 2^34142314112 is an apocalyptic number.

34142314112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34316639280).

34142314112 is an abundant number, since it is smaller than the sum of its proper divisors (34490964448).

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

34142314112 is a wasteful number, since it uses less digits than its factorization.

34142314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2989 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 34142314112 its reverse (21141324143), we get a palindrome (55283638255).

The spelling of 34142314112 in words is "thirty-four billion, one hundred forty-two million, three hundred fourteen thousand, one hundred twelve".