314303416128 has 784 divisors, whose sum is σ = 1057806449280. Its totient is φ = 91947405312.

The previous prime is 314303416123. The next prime is 314303416181. The reversal of 314303416128 is 821614303413.

314303416128 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 0 + 34 + 1 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314303416092 and 314303416101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314303416123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1882056301 + ... + 1882056467.

It is an arithmetic number, because the mean of its divisors is an integer number (1349242920).

Almost surely, 2^314303416128 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 314303416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528903224640).

314303416128 is an abundant number, since it is smaller than the sum of its proper divisors (743503033152).

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

314303416128 is a wasteful number, since it uses less digits than its factorization.

314303416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 314303416128 in words is "three hundred fourteen billion, three hundred three million, four hundred sixteen thousand, one hundred twenty-eight".