314045482912800 has 1728 divisors, whose sum is σ = 1133150244992640. Its totient is φ = 75393574502400.

The previous prime is 314045482912787. The next prime is 314045482912871. The reversal of 314045482912800 is 8219284540413.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 279648693039 + ... + 279648694161.

It is an arithmetic number, because the mean of its divisors is an integer number (655758243630).

Almost surely, 2^{314045482912800} is an apocalyptic number.

314045482912800 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 314045482912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566575122496320).

314045482912800 is an abundant number, since it is smaller than the sum of its proper divisors (819104762079840).

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

314045482912800 is a wasteful number, since it uses less digits than its factorization.

314045482912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 314045482912800 in words is "three hundred fourteen trillion, forty-five billion, four hundred eighty-two million, nine hundred twelve thousand, eight hundred".