334000135014 has 192 divisors, whose sum is σ = 850941133056. Its totient is φ = 86608279296.

The previous prime is 334000134887. The next prime is 334000135031. The reversal of 334000135014 is 410531000433.

It is a happy number.

It is a super-2 number, since 2×334000135014² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 193847157 + ... + 193848879.

It is an arithmetic number, because the mean of its divisors is an integer number (4431985068).

Almost surely, 2^334000135014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334000135014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425470566528).

334000135014 is an abundant number, since it is smaller than the sum of its proper divisors (516940998042).

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

334000135014 is a wasteful number, since it uses less digits than its factorization.

334000135014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 334000135014 its reverse (410531000433), we get a palindrome (744531135447).

The spelling of 334000135014 in words is "three hundred thirty-four billion, one hundred thirty-five thousand, fourteen".