334111114100000 has 288 divisors, whose sum is σ = 851241827192400. Its totient is φ = 128927232000000.

The previous prime is 334111114099979. The next prime is 334111114100033. The reversal of 334111114100000 is 1411111433.

It can be written as a sum of positive squares in 24 ways, for example, as 319317028869136 + 14794085230864 = 17869444^2 + 3846308^2 .

It is a super-2 number, since 2×334111114100000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3482852036 + ... + 3482947964.

Almost surely, 2^{334111114100000} 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 334111114100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425620913596200).

334111114100000 is an abundant number, since it is smaller than the sum of its proper divisors (517130713092400).

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

334111114100000 is an equidigital number, since it uses as much as digits as its factorization.

334111114100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97194 (or 97166 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 334111114100000 its reverse (1411111433), we get a palindrome (334112525211433).

The spelling of 334111114100000 in words is "three hundred thirty-four trillion, one hundred eleven billion, one hundred fourteen million, one hundred thousand".