314505213000 has 512 divisors, whose sum is σ = 1091038740480. Its totient is φ = 74793600000.

The previous prime is 314505212971. The next prime is 314505213007. The reversal of 314505213000 is 312505413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (314505213007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 423290629 + ... + 423291371.

It is an arithmetic number, because the mean of its divisors is an integer number (2130935040).

Almost surely, 2^314505213000 is an apocalyptic number.

314505213000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314505213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545519370240).

314505213000 is an abundant number, since it is smaller than the sum of its proper divisors (776533527480).

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

314505213000 is a wasteful number, since it uses less digits than its factorization.

314505213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 314505213000 its reverse (312505413), we get a palindrome (314817718413).

The spelling of 314505213000 in words is "three hundred fourteen billion, five hundred five million, two hundred thirteen thousand".