314452439320320 has 3456 divisors, whose sum is σ = 1460682005852160. Its totient is φ = 60681564979200.

The previous prime is 314452439320291. The next prime is 314452439320321. The reversal of 314452439320320 is 23023934254413.

It is a happy number.

314452439320320 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 5 + 2 + 439 + 3 + 203 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314452439320321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60506527962 + ... + 60506533158.

It is an arithmetic number, because the mean of its divisors is an integer number (422651043360).

Almost surely, 2^{314452439320320} is an apocalyptic number.

314452439320320 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 314452439320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730341002926080).

314452439320320 is an abundant number, since it is smaller than the sum of its proper divisors (1146229566531840).

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

314452439320320 is a wasteful number, since it uses less digits than its factorization.

314452439320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 314452439320320 in words is "three hundred fourteen trillion, four hundred fifty-two billion, four hundred thirty-nine million, three hundred twenty thousand, three hundred twenty".