334302100000000 has 648 divisors, whose sum is σ = 917500030239744. Its totient is φ = 120556800000000.

The previous prime is 334302099999983. The next prime is 334302100000027. The reversal of 334302100000000 is 1203433.

It is a super-2 number, since 2×334302100000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 334302100000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139699998804 + ... + 139700001196.

Almost surely, 2^{334302100000000} 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 334302100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458750015119872).

334302100000000 is an abundant number, since it is smaller than the sum of its proper divisors (583197930239744).

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

334302100000000 is an frugal number, since it uses more digits than its factorization.

334302100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 334302100000000 its reverse (1203433), we get a palindrome (334302101203433).

The spelling of 334302100000000 in words is "three hundred thirty-four trillion, three hundred two billion, one hundred million", and thus it is an aban number.