334303114213000 has 192 divisors, whose sum is σ = 806734153330560. Its totient is φ = 129659279040000.

The previous prime is 334303114212973. The next prime is 334303114213091. The reversal of 334303114213000 is 312411303433.

It is a super-2 number, since 2×334303114213000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334303114213000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273392965 + ... + 274613035.

It is an arithmetic number, because the mean of its divisors is an integer number (4201740381930).

Almost surely, 2^{334303114213000} 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 334303114213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403367076665280).

334303114213000 is an abundant number, since it is smaller than the sum of its proper divisors (472431039117560).

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

334303114213000 is a wasteful number, since it uses less digits than its factorization.

334303114213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220337 (or 1220282 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 334303114213000 its reverse (312411303433), we get a palindrome (334615525516433).

The spelling of 334303114213000 in words is "three hundred thirty-four trillion, three hundred three billion, one hundred fourteen million, two hundred thirteen thousand".