334014131328 has 256 divisors, whose sum is σ = 949632076800. Its totient is φ = 103768068096.

The previous prime is 334014131327. The next prime is 334014131329. The reversal of 334014131328 is 823131410433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (334014131327) and next prime (334014131329).

It is a super-2 number, since 2×334014131328² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334014131327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211534443 + ... + 211536021.

It is an arithmetic number, because the mean of its divisors is an integer number (3709500300).

Almost surely, 2^334014131328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334014131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474816038400).

334014131328 is an abundant number, since it is smaller than the sum of its proper divisors (615617945472).

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

334014131328 is a wasteful number, since it uses less digits than its factorization.

334014131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 334014131328 in words is "three hundred thirty-four billion, fourteen million, one hundred thirty-one thousand, three hundred twenty-eight".