334442320312100 has 432 divisors, whose sum is σ = 989474994297216. Its totient is φ = 95270423040000.

The previous prime is 334442320312097. The next prime is 334442320312147. The reversal of 334442320312100 is 1213023244433.

It is a super-2 number, since 2×334442320312100² (a number of 30 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 130158992 + ... + 132703608.

It is an arithmetic number, because the mean of its divisors is an integer number (2290451375688).

Almost surely, 2^{334442320312100} 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 334442320312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494737497148608).

334442320312100 is an abundant number, since it is smaller than the sum of its proper divisors (655032673985116).

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

334442320312100 is a wasteful number, since it uses less digits than its factorization.

334442320312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544776 (or 2544756 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 334442320312100 its reverse (1213023244433), we get a palindrome (335655343556533).

The spelling of 334442320312100 in words is "three hundred thirty-four trillion, four hundred forty-two billion, three hundred twenty million, three hundred twelve thousand, one hundred".