314048779340800 has 528 divisors, whose sum is σ = 938095410551040. Its totient is φ = 101832396963840.

The previous prime is 314048779340761. The next prime is 314048779340801. The reversal of 314048779340800 is 8043977840413.

It is not an unprimeable number, because it can be changed into a prime (314048779340801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998539034 + ... + 1998696166.

Almost surely, 2^{314048779340800} 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 314048779340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469047705275520).

314048779340800 is an abundant number, since it is smaller than the sum of its proper divisors (624046631210240).

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

314048779340800 is a wasteful number, since it uses less digits than its factorization.

314048779340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157776 (or 157753 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 314048779340800 in words is "three hundred fourteen trillion, forty-eight billion, seven hundred seventy-nine million, three hundred forty thousand, eight hundred".