314371965906848 has 192 divisors, whose sum is σ = 668026265776128. Its totient is φ = 145245907952640.

The previous prime is 314371965906799. The next prime is 314371965906853. The reversal of 314371965906848 is 848609569173413.

It is a Harshad number since it is a multiple of its sum of digits (74).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268601403 + ... + 2268739973.

It is an arithmetic number, because the mean of its divisors is an integer number (3479303467584).

Almost surely, 2^{314371965906848} 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 314371965906848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334013132888064).

314371965906848 is an abundant number, since it is smaller than the sum of its proper divisors (353654299869280).

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

314371965906848 is a wasteful number, since it uses less digits than its factorization.

314371965906848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139235 (or 139227 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 74.

The spelling of 314371965906848 in words is "three hundred fourteen trillion, three hundred seventy-one billion, nine hundred sixty-five million, nine hundred six thousand, eight hundred forty-eight".