314005011320 has 384 divisors, whose sum is σ = 963523330560. Its totient is φ = 88943754240.

The previous prime is 314005011277. The next prime is 314005011371. The reversal of 314005011320 is 23110500413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314005011292 and 314005011301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179738687 + ... + 179740433.

It is an arithmetic number, because the mean of its divisors is an integer number (2509175340).

Almost surely, 2^314005011320 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 314005011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481761665280).

314005011320 is an abundant number, since it is smaller than the sum of its proper divisors (649518319240).

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

314005011320 is a wasteful number, since it uses less digits than its factorization.

314005011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 314005011320 its reverse (23110500413), we get a palindrome (337115511733).

The spelling of 314005011320 in words is "three hundred fourteen billion, five million, eleven thousand, three hundred twenty".