314445808144 has 160 divisors (see below), whose sum is σ = 696105446400. Its totient is φ = 136406592000.

The previous prime is 314445808109. The next prime is 314445808153. The reversal of 314445808144 is 441808544413.

It is a junction number, because it is equal to n+sod(n) for n = 314445808094 and 314445808103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356110327 + ... + 356111209.

It is an arithmetic number, because the mean of its divisors is an integer number (4350659040).

Almost surely, 2^314445808144 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 314445808144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348052723200).

314445808144 is an abundant number, since it is smaller than the sum of its proper divisors (381659638256).

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

314445808144 is a wasteful number, since it uses less digits than its factorization.

314445808144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 314445808144 in words is "three hundred fourteen billion, four hundred forty-five million, eight hundred eight thousand, one hundred forty-four".