314774519808 has 648 divisors, whose sum is σ = 1068304027896. Its totient is φ = 81914757120.

The previous prime is 314774519771. The next prime is 314774519869. The reversal of 314774519808 is 808915477413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10154016753 + ... + 10154016783.

It is an arithmetic number, because the mean of its divisors is an integer number (1648617327).

Almost surely, 2^314774519808 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 314774519808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534152013948).

314774519808 is an abundant number, since it is smaller than the sum of its proper divisors (753529508088).

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

314774519808 is an frugal number, since it uses more digits than its factorization.

314774519808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 314774519808 in words is "three hundred fourteen billion, seven hundred seventy-four million, five hundred nineteen thousand, eight hundred eight".