314245507704560 has 320 divisors, whose sum is σ = 764409634652160. Its totient is φ = 120034954690560.

The previous prime is 314245507704553. The next prime is 314245507704581. The reversal of 314245507704560 is 65407705542413.

It is a super-2 number, since 2×314245507704560² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47954446244 + ... + 47954452796.

It is an arithmetic number, because the mean of its divisors is an integer number (2388780108288).

Almost surely, 2^{314245507704560} 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 314245507704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382204817326080).

314245507704560 is an abundant number, since it is smaller than the sum of its proper divisors (450164126947600).

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

314245507704560 is a wasteful number, since it uses less digits than its factorization.

314245507704560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 53.

The spelling of 314245507704560 in words is "three hundred fourteen trillion, two hundred forty-five billion, five hundred seven million, seven hundred four thousand, five hundred sixty".