314313544160 has 192 divisors, whose sum is σ = 927585437184. Its totient is φ = 97778534400.

The previous prime is 314313544159. The next prime is 314313544241. The reversal of 314313544160 is 61445313413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 314313544160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6418970 + ... + 6467750.

It is an arithmetic number, because the mean of its divisors is an integer number (4831174152).

Almost surely, 2^314313544160 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 314313544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463792718592).

314313544160 is an abundant number, since it is smaller than the sum of its proper divisors (613271893024).

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

314313544160 is a wasteful number, since it uses less digits than its factorization.

314313544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49337 (or 49329 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 314313544160 its reverse (61445313413), we get a palindrome (375758857573).

The spelling of 314313544160 in words is "three hundred fourteen billion, three hundred thirteen million, five hundred forty-four thousand, one hundred sixty".