314414000000 has 112 divisors (see below), whose sum is σ = 782959509240. Its totient is φ = 125764800000.

The previous prime is 314413999957. The next prime is 314414000003. The reversal of 314414000000 is 414413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314414000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1921397 + ... + 2078603.

Almost surely, 2^314414000000 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 314414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391479754620).

314414000000 is an abundant number, since it is smaller than the sum of its proper divisors (468545509240).

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

314414000000 is an frugal number, since it uses more digits than its factorization.

314414000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157251 (or 157214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 314414000000 its reverse (414413), we get a palindrome (314414414413).

The spelling of 314414000000 in words is "three hundred fourteen billion, four hundred fourteen million", and thus it is an aban number.