314003204611668 has 432 divisors, whose sum is σ = 955851883529088. Its totient is φ = 86316168153600.

The previous prime is 314003204611661. The next prime is 314003204611699. The reversal of 314003204611668 is 866116402300413.

314003204611668 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 3 + 20 + 4 + 611 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314003204611661) by changing a digit.

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, 1597207705 + ... + 1597404287.

Almost surely, 2^{314003204611668} 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 314003204611668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477925941764544).

314003204611668 is an abundant number, since it is smaller than the sum of its proper divisors (641848678917420).

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

314003204611668 is a wasteful number, since it uses less digits than its factorization.

314003204611668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197116 (or 197100 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 314003204611668 in words is "three hundred fourteen trillion, three billion, two hundred four million, six hundred eleven thousand, six hundred sixty-eight".