314001460000 has 120 divisors (see below), whose sum is σ = 774167874480. Its totient is φ = 125327904000.

The previous prime is 314001459991. The next prime is 314001460013. The reversal of 314001460000 is 64100413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314001460000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9323191 + ... + 9356809.

It is an arithmetic number, because the mean of its divisors is an integer number (6451398954).

Almost surely, 2^314001460000 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 314001460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387083937240).

314001460000 is an abundant number, since it is smaller than the sum of its proper divisors (460166414480).

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

314001460000 is an equidigital number, since it uses as much as digits as its factorization.

314001460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34116 (or 34093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 314001460000 its reverse (64100413), we get a palindrome (314065560413).

The spelling of 314001460000 in words is "three hundred fourteen billion, one million, four hundred sixty thousand".